diff --git a/ROADMAP.md b/ROADMAP.md
index 9315be8a6..c254c0d1f 100644
--- a/ROADMAP.md
+++ b/ROADMAP.md
@@ -2,6 +2,7 @@
 
 **Stage: alpha** · next: beta, ~20 points and ~120–210 h away
 
+> **Last reviewed:** 2026-11-02 · **Last updated:** 2026-11-03 · **Change:** trivial (progress log: web `?host=parent` bridge opens and saves through a same-origin framing page; scores unchanged) · **Target:** Microsoft PowerPoint for Mac 16.113 (Microsoft 365)
 > **Last reviewed:** 2026-11-02 · **Last updated:** 2026-11-03 · **Change:** trivial (community PR wave 10: PPTX and native saves keep table cell centred anchoring, text overflow, compatible line spacing, normalised character height, Thai distributed alignment, RTL table direction, alternate run language and reflection transforms; imported effects placed by parent time-node delays; Reuse Slides fits the destination size and brings custom table styles; deleted slides leave custom shows; merged shapes drop their animations; Compress Pictures measures grouped pictures at displayed size; parity scores unchanged) · **Target:** Microsoft PowerPoint for Mac 16.113 (Microsoft 365)
 > **Last reviewed:** 2026-11-02 · **Last updated:** 2026-11-02 · **Change:** trivial (File › About replaces Account; product links, credits and appearance retained; parity scores unchanged) · **Target:** Microsoft PowerPoint for Mac 16.113 (Microsoft 365)
 > **Last reviewed:** 2026-10-14 · **Last updated:** 2026-11-01 · **Change:** trivial (locked No Fill and no-outline click-through regression coverage added; No Fill hit-testing follows resolved fill instead of the presence of a style (#1621); scores unchanged) · **Target:** Microsoft PowerPoint for Mac 16.113 (Microsoft 365)
@@ -150,6 +151,7 @@ app's JSON control channel (`deckcraft --control PORT`).
 
 | Date | What landed |
 |---|---|
+| 2026-11-03 | Web: the `?host=parent` bridge (as in GridCraft, WordCraft and PdfCraft) lets a same-origin page that frames DeckCraft send a presentation and store its saves; Save writes an opened .pptx back as .pptx under its own name, as on the desktop |
 | 2026-11-02 | Native and PPTX saves retain optional table right-to-left direction, including explicit false and omission; two-save round-trip tests keep labeled columns in order |
 | 2026-11-02 | Text runs preserve alternate-language metadata independently from the main language through native and PPTX saves |
 | 2026-11-02 | Picture compression measures displayed dimensions through nested group transforms; checklist score unchanged |
@@ -332,6 +334,7 @@ app's JSON control channel (`deckcraft --control PORT`).
 |---|---|---|
 | 2026-11-02 | trivial | Progress log: run alternate-language metadata round-trips through native and PPTX formats; product parity scores unchanged |
 | 2026-11-03 | trivial | Reuse Slides brings referenced custom table styles along; scores unchanged |
+| 2026-11-03 | trivial | Progress log: web `?host=parent` bridge to a framing page; scores unchanged |
 | 2026-11-02 | trivial | File › About replaces Account; product links, credits and appearance retained |
 | 2026-11-02 | trivial | Progress log: tiled picture fills keep their size in scaled groups. Scores and milestone names unchanged |
 | 2026-10-31 | trivial | No Fill hit-testing follows resolved fill instead of the presence of a style (#1621); scores unchanged |
diff --git a/apps/deckcraft-web/Cargo.toml b/apps/deckcraft-web/Cargo.toml
index 541985e5b..ca04d5be9 100644
--- a/apps/deckcraft-web/Cargo.toml
+++ b/apps/deckcraft-web/Cargo.toml
@@ -27,4 +27,4 @@ rfd = { workspace = true }
 wasm-bindgen = "0.2"
 wasm-bindgen-futures = "0.4"
 js-sys = "0.3"
-web-sys = { version = "0.3", features = ["Window", "Document", "Element", "HtmlElement", "HtmlCanvasElement", "HtmlAnchorElement", "Blob", "BlobPropertyBag", "Url", "Location", "CssStyleDeclaration", "MessageEvent", "Event", "EventTarget"] }
+web-sys = { version = "0.3", features = ["Window", "Document", "Element", "HtmlElement", "HtmlCanvasElement", "HtmlAnchorElement", "Blob", "BlobPropertyBag", "Url", "Location", "CssStyleDeclaration", "MessageEvent", "Event", "EventTarget", "UrlSearchParams"] }
diff --git a/apps/deckcraft-web/src/host.rs b/apps/deckcraft-web/src/host.rs
new file mode 100644
index 000000000..85c357a12
--- /dev/null
+++ b/apps/deckcraft-web/src/host.rs
@@ -0,0 +1,192 @@
+//! The `postMessage` bridge to a same-origin parent page (`?host=parent`), for pages that embed
+//! DeckCraft in an `<iframe>` and keep its files (a Nextcloud app, a personal file server). The
+//! same messages as GridCraft's, WordCraft's and PdfCraft's bridges; each is a plain object with a
+//! `type`:
+//!
+//! - `deckcraft:ready` (to the parent): `{ version }`, sent once the app is running and
+//!   listening; send a file now.
+//! - `deckcraft:open` (from the parent): `{ name, bytes }`, bytes an `ArrayBuffer` or
+//!   `Uint8Array`, name a bare file name. It opens like a file picked with File › Open on the
+//!   desktop: a presentation sent with its name (.pptx, .potx, .ppsx, .deckcraft) has that name
+//!   as its file, so Save goes back to it; an outline (.txt, .md, .rtf), a file without a name and
+//!   a damaged file open untitled.
+//! - `deckcraft:save` (to the parent): `{ name, saveAs, bytes }` (a transferred `ArrayBuffer`) for
+//!   every file DeckCraft would otherwise download. The parent stores it and reports failures
+//!   itself. `saveAs` says whether the file becomes the presentation's file:
+//!   - Save: `false`. It writes the opened file under its own name and format (a .pptx stays a
+//!     .pptx), as the desktop app does. A name the parent never sent (an untitled presentation, an
+//!     outline, a file sent without a name, a repaired copy of a damaged file, a file the user
+//!     picked or dropped) is a new file: `true`, as for Save As, named `<title>.deckcraft` as
+//!     Save suggests on the desktop.
+//!   - Save As (File › Save As as .pptx or .deckcraft, Ctrl+Shift+S): `true`. The presentation is
+//!     now that file; the next Save sends its name with `false`.
+//!   - Export (PDF, pictures, outline, GIF, handouts, a Save As type that isn't a presentation)
+//!     and Print: `false`. They are copies; the presentation's file stays the same.
+//! - `deckcraft:dirty` (to the parent): `{ dirty }` whenever unsaved changes appear or go away.
+//! - `deckcraft:failed` (to the parent): `{ error }` when the app couldn't start.
+//!
+//! Only the parent window on the page's own origin is heard or answered. In host mode the app
+//! starts with an empty presentation instead of the sample, which gives way to the first file the
+//! parent sends; the parent guards leaving the page, and `?author=` names the user for comments.
+
+use std::cell::{Cell, RefCell};
+use std::rc::Rc;
+
+use deckcraft_ui_egui::{Services, SlideApp};
+use wasm_bindgen::JsCast as _;
+use wasm_bindgen::JsValue;
+use wasm_bindgen::closure::Closure;
+
+/// The longest user name taken from `?author=` (the preferences' own limit).
+const MAX_AUTHOR_CHARS: usize = 256;
+
+#[derive(Clone)]
+pub struct Bridge {
+    window: web_sys::Window,
+    parent: web_sys::Window,
+    origin: String,
+    /// Files the parent sent (the name, if it sent one), waiting for the next frame.
+    opened: Rc<RefCell<Vec<(Option<String>, Vec<u8>)>>>,
+    /// The unsaved-changes state last reported to the parent.
+    reported: Rc<Cell<Option<bool>>>,
+}
+
+impl Bridge {
+    /// `None` when the page isn't framed (there is no parent to talk to), or when the parent is
+    /// on another origin: messages only go to this origin, so the browser would drop every save
+    /// without an error while the presentation showed as saved.
+    pub fn new() -> Option<Self> {
+        let window = web_sys::window()?;
+        let parent = window.parent().ok().flatten()?;
+        if js_sys::Object::is(&parent, &window) {
+            return None;
+        }
+        let origin = window.location().origin().ok()?;
+        // An opaque origin (a `file://` page in some browsers) can't be a `postMessage` target.
+        if origin == "null" {
+            return None;
+        }
+        // Reading another origin's location throws, which is `None` too.
+        if parent.location().origin().ok()? != origin {
+            return None;
+        }
+        Some(Self { window, parent, origin, opened: Rc::default(), reported: Rc::default() })
+    }
+
+    /// Hand saved and exported files to the parent instead of downloading them, and hear the
+    /// files it sends.
+    pub fn connect(&self, services: &mut Services, ctx: egui::Context) {
+        self.listen(ctx);
+        let bridge = self.clone();
+        services.host_save = Some(Box::new(move |name: &str, bytes: &[u8], save_as: bool| bridge.post_save(name, bytes, save_as)));
+        // Exports and Print are copies.
+        let bridge = self.clone();
+        services.download = Some(Box::new(move |name: &str, bytes: &[u8]| {
+            if let Err(e) = bridge.post_save(name, bytes, false) {
+                log::error!("couldn't hand {name} to the page: {e}");
+            }
+        }));
+    }
+
+    /// `?author=`: the host's name for the user signs new comments.
+    pub fn set_author(app: &mut SlideApp, author: &str) {
+        let author: String = author.trim().chars().take(MAX_AUTHOR_CHARS).collect();
+        if !author.is_empty() {
+            app.session.prefs.author = author;
+        }
+    }
+
+    pub fn post_ready(&self) {
+        self.send(&[("type", "deckcraft:ready".into()), ("version", env!("CARGO_PKG_VERSION").into())]);
+    }
+
+    /// The app couldn't start (no WebGPU or WebGL2, for example): let the parent say so.
+    pub fn post_failed(&self, error: &str) {
+        self.send(&[("type", "deckcraft:failed".into()), ("error", error.into())]);
+    }
+
+    /// Before each frame: open the files the parent sent.
+    pub fn open_files(&self, app: &mut SlideApp) {
+        let opened = std::mem::take(&mut *self.opened.borrow_mut());
+        for (name, bytes) in opened {
+            app.open_from_host(name.as_deref(), &bytes);
+        }
+    }
+
+    /// After each frame: tell the parent when unsaved changes appear or go away.
+    pub fn report_dirty(&self, app: &SlideApp) {
+        let dirty = app.session.documents().iter().any(|d| d.is_dirty());
+        if self.reported.get() != Some(dirty) && self.send(&[("type", "deckcraft:dirty".into()), ("dirty", dirty.into())]) {
+            self.reported.set(Some(dirty));
+        }
+    }
+
+    fn post_save(&self, path: &str, bytes: &[u8], save_as: bool) -> Result<(), String> {
+        let name = std::path::Path::new(path).file_name().map(|n| n.to_string_lossy().to_string()).unwrap_or_else(|| path.to_string());
+        let buffer = js_sys::Uint8Array::from(bytes).buffer();
+        let message = message(&[
+            ("type", "deckcraft:save".into()),
+            ("name", name.as_str().into()),
+            ("saveAs", save_as.into()),
+            ("bytes", buffer.clone().into()),
+        ])
+        .ok_or_else(|| "couldn't build the message".to_string())?;
+        self.parent
+            .post_message_with_transfer(&message, &self.origin, &js_sys::Array::of1(&buffer))
+            .map_err(|e| e.as_string().unwrap_or_else(|| format!("{e:?}")))
+    }
+
+    /// Hear `deckcraft:open` from the parent and queue the file for the next frame.
+    fn listen(&self, ctx: egui::Context) {
+        let parent = self.parent.clone();
+        let origin = self.origin.clone();
+        let opened = self.opened.clone();
+        let on_message = Closure::<dyn FnMut(web_sys::MessageEvent)>::new(move |event: web_sys::MessageEvent| {
+            if event.origin() != origin || !event.source().is_some_and(|s| js_sys::Object::is(&s, &parent)) {
+                return;
+            }
+            let data = event.data();
+            if string(&data, "type").as_deref() != Some("deckcraft:open") {
+                return;
+            }
+            // No name is no file: the presentation opens untitled, never under an invented name.
+            let name = string(&data, "name").filter(|n| !n.trim().is_empty());
+            let Some(bytes) = bytes(&data) else { return };
+            opened.borrow_mut().push((name, bytes));
+            ctx.request_repaint();
+        });
+        if self.window.add_event_listener_with_callback("message", on_message.as_ref().unchecked_ref()).is_ok() {
+            // The listener lives as long as the page.
+            on_message.forget();
+        }
+    }
+
+    /// Post a message to the parent; false if it couldn't be sent.
+    fn send(&self, fields: &[(&str, JsValue)]) -> bool {
+        message(fields).is_some_and(|m| self.parent.post_message(&m, &self.origin).is_ok())
+    }
+}
+
+fn message(fields: &[(&str, JsValue)]) -> Option<js_sys::Object> {
+    let m = js_sys::Object::new();
+    for (key, value) in fields {
+        js_sys::Reflect::set(&m, &JsValue::from_str(key), value).ok()?;
+    }
+    Some(m)
+}
+
+fn string(data: &JsValue, key: &str) -> Option<String> {
+    js_sys::Reflect::get(data, &JsValue::from_str(key)).ok()?.as_string()
+}
+
+/// `bytes` as an `ArrayBuffer` or `Uint8Array`.
+fn bytes(data: &JsValue) -> Option<Vec<u8>> {
+    let bytes = js_sys::Reflect::get(data, &JsValue::from_str("bytes")).ok()?;
+    if let Some(array) = bytes.dyn_ref::<js_sys::Uint8Array>() {
+        Some(array.to_vec())
+    } else if bytes.is_instance_of::<js_sys::ArrayBuffer>() {
+        Some(js_sys::Uint8Array::new(&bytes).to_vec())
+    } else {
+        None
+    }
+}
diff --git a/apps/deckcraft-web/src/main.rs b/apps/deckcraft-web/src/main.rs
index 2ce622e9a..8fe335eb8 100644
--- a/apps/deckcraft-web/src/main.rs
+++ b/apps/deckcraft-web/src/main.rs
@@ -9,15 +9,20 @@
 //! - File → Open and Insert → Pictures/Audio/Video use the browser file picker; bytes arrive
 //!   asynchronously through `Services::inbox`, applied to the document, slide and operation
 //!   that started the pick (a dismissed picker or a closed document drops the file);
-//! - Save and Export trigger a browser download;
+//! - Save and Export trigger a browser download (or go to the framing page with `?host=parent`);
 //! - dropped files are read asynchronously by `web::WebShell` and delivered through the inbox;
 //! - preferences are not persisted.
 //!
 //! URL query flags: `?webgl` forces the WebGL2 backend instead of WebGPU; `?blank` starts with an
 //! empty presentation instead of the sample deck; `?show` starts the slide show.
+//! `?host=parent` (inside an `<iframe>`) talks to a same-origin parent page instead: it sends the
+//! presentation to open and stores what DeckCraft saves (`host`), and `&author=` names the user
+//! for comments.
 #![deny(clippy::unwrap_used, clippy::expect_used, clippy::panic, clippy::unimplemented, clippy::todo, clippy::unreachable)]
 #![forbid(unsafe_code)]
 
+#[cfg(target_arch = "wasm32")]
+mod host;
 #[cfg(target_arch = "wasm32")]
 mod presenter;
 #[cfg(target_arch = "wasm32")]
diff --git a/apps/deckcraft-web/src/web.rs b/apps/deckcraft-web/src/web.rs
index a385d44c8..67f5157c5 100644
--- a/apps/deckcraft-web/src/web.rs
+++ b/apps/deckcraft-web/src/web.rs
@@ -24,8 +24,16 @@ pub fn start() {
             log::error!("missing <canvas id=\"{CANVAS_ID}\">");
             return;
         };
+        // `?host=parent`: a same-origin page framing DeckCraft opens presentations in it and
+        // stores what it saves (`host`). The presenter popup is never the framed page.
+        let host = query_param("host").as_deref() == Some("parent") && crate::presenter::token().is_none();
+        let bridge = if host { crate::host::Bridge::new() } else { None };
+        if host && bridge.is_none() {
+            log::warn!("?host=parent needs a framing page on the same origin; saves download instead");
+        }
+        let app_bridge = bridge.clone();
         let mut options = eframe::WebOptions::default();
-        if query().contains("webgl")
+        if query_has("webgl")
             && let eframe::egui_wgpu::WgpuSetup::CreateNew(create) = &mut options.wgpu_options.wgpu_setup
         {
             create.instance_descriptor.backends = eframe::wgpu::Backends::GL;
@@ -44,22 +52,38 @@ pub fn start() {
                         return Ok(Box::new(presenter) as Box<dyn eframe::App>);
                     }
                     let inbox: Inbox = Inbox::default();
-                    let mut app = SlideApp::new(Session::new(), services(inbox.clone(), cc.egui_ctx.clone()));
-                    let q = query();
-                    if !q.contains("blank") {
+                    let mut services = services(inbox.clone(), cc.egui_ctx.clone());
+                    if let Some(bridge) = &app_bridge {
+                        bridge.connect(&mut services, cc.egui_ctx.clone());
+                    }
+                    let mut app = SlideApp::new(Session::new(), services);
+                    // In host mode the parent sends the presentation to edit; no sample meanwhile.
+                    if app_bridge.is_none() && !query_has("blank") {
                         if let Err(e) = deckcraft_engine::sample::open_sample(&mut app.session) {
                             log::error!("sample deck: {e}");
                         }
                     } else if let Err(e) = app.run("file.new", serde_json::json!({})) {
                         log::error!("new presentation: {e}");
                     }
-                    if q.contains("show") {
+                    if query_has("show") {
                         app.start_show(0, false);
                     }
-                    Ok(Box::new(WebShell { app, inbox }))
+                    if app_bridge.is_some()
+                        && let Some(author) = query_param("author")
+                    {
+                        crate::host::Bridge::set_author(&mut app, &author);
+                    }
+                    Ok(Box::new(WebShell { app, inbox, bridge: app_bridge }))
                 }),
             )
             .await;
+        // Ready only once the runner is up: starting can still fail after the app is made.
+        if let Some(bridge) = &bridge {
+            match &result {
+                Ok(()) => bridge.post_ready(),
+                Err(e) => bridge.post_failed(&format!("{e:?}")),
+            }
+        }
         if let Some(el) = document.get_element_by_id(LOADING_ID) {
             match result {
                 Ok(()) => el.remove(),
@@ -73,17 +97,36 @@ fn query() -> String {
     web_sys::window().and_then(|w| w.location().search().ok()).unwrap_or_default()
 }
 
+fn query_param(key: &str) -> Option<String> {
+    web_sys::UrlSearchParams::new_with_str(&query()).ok()?.get(key)
+}
+
+/// Whether the URL has the flag `key` (`?show`, `&blank=1`). A whole parameter, never a substring:
+/// `?author=` is free text.
+fn query_has(key: &str) -> bool {
+    web_sys::UrlSearchParams::new_with_str(&query()).is_ok_and(|q| q.has(key))
+}
+
 /// Wraps the app to read dropped files asynchronously (browsers can't read them synchronously)
 /// and feed them through the inbox.
 struct WebShell {
     app: SlideApp,
     inbox: Inbox,
+    /// The parent page that keeps the files (`?host=parent`).
+    bridge: Option<crate::host::Bridge>,
 }
 
 impl eframe::App for WebShell {
-    /// Delegate one eframe logic pass to the wrapped application.
+    /// Delegate one eframe logic pass to the wrapped application, opening the files the parent
+    /// page sent first and telling it about unsaved changes after.
     fn logic(&mut self, ctx: &egui::Context, _frame: &mut eframe::Frame) {
+        if let Some(bridge) = &self.bridge {
+            bridge.open_files(&mut self.app);
+        }
         self.app.logic(ctx);
+        if let Some(bridge) = &self.bridge {
+            bridge.report_dirty(&self.app);
+        }
         if self.app.show.is_none()
             && let Some(host) = self.app.services.presenter.as_mut()
         {
diff --git a/crates/engine/src/cmd/file.rs b/crates/engine/src/cmd/file.rs
index 8943eb9a3..e750977d9 100644
--- a/crates/engine/src/cmd/file.rs
+++ b/crates/engine/src/cmd/file.rs
@@ -253,8 +253,15 @@ pub struct LoadedFile {
 #[cfg(not(target_arch = "wasm32"))]
 pub fn read_presentation_file(path: &str) -> Result<LoadedFile> {
     let bytes = crate::io::read_file(path).map_err(EngineError::Other)?;
-    let (doc, damaged) = open_checked(path, &bytes)?;
-    let native = deckcraft_format::sniff(&bytes) || deckcraft_pptx::sniff(&bytes);
+    loaded_file(path, &bytes)
+}
+
+/// Parse `bytes` as the presentation file `path`, as [`read_presentation_file`] does after
+/// reading it. The web host bridge uses it for a file its page sent, which then saves back to
+/// that name like a file opened on the desktop.
+pub fn loaded_file(path: &str, bytes: &[u8]) -> Result<LoadedFile> {
+    let (doc, damaged) = open_checked(path, bytes)?;
+    let native = deckcraft_format::sniff(bytes) || deckcraft_pptx::sniff(bytes);
     Ok(LoadedFile { path: path.to_string(), doc, native, damaged })
 }
 
@@ -469,7 +476,10 @@ pub fn format_for_path(path: &str) -> &'static str {
     }
 }
 
-fn mark_saved(s: &mut Session, path: Option<String>) -> Result<()> {
+/// The active presentation is saved as it is now: no unsaved changes, and `path` (when given)
+/// becomes its file. `file.save` calls it after writing; the web host bridge calls it once the
+/// page has the bytes.
+pub fn mark_saved(s: &mut Session, path: Option<String>) -> Result<()> {
     let st = s.doc_mut()?;
     st.saved_doc = st.doc.clone();
     if path.is_some() {
diff --git a/crates/ui-egui/src/app/commands.rs b/crates/ui-egui/src/app/commands.rs
index 0f7781a84..718b95ace 100644
--- a/crates/ui-egui/src/app/commands.rs
+++ b/crates/ui-egui/src/app/commands.rs
@@ -20,6 +20,11 @@ impl SlideApp {
     pub fn run(&mut self, id: &str, params: Value) -> Result<Value, String> {
         let r = if UI_COMMANDS.iter().any(|c| c.0 == id) {
             self.run_ui(id, &params)
+        } else if id == "file.save" && self.services.host_save.is_some() && params.get("path").is_none() {
+            // A page that keeps the files (`?host=parent`): Save by id (the command palette) goes
+            // to the page like Ctrl+S. The engine would write to the presentation's path, which a
+            // browser can't.
+            self.save_to_host(None).map(|name| json!({"path": name}))
         } else {
             self.session.execute(id, &params).map_err(|e| e.to_string())
         };
diff --git a/crates/ui-egui/src/app/files.rs b/crates/ui-egui/src/app/files.rs
index 1e846e0db..c1c6198b4 100644
--- a/crates/ui-egui/src/app/files.rs
+++ b/crates/ui-egui/src/app/files.rs
@@ -462,6 +462,8 @@ impl SlideApp {
                     Err(e) => self.set_status(e.to_string()),
                 }
             }
+        } else if self.services.host_save.is_some() {
+            let _ = self.save_to_host(Some(ext));
         } else if let Some(dl) = self.services.download.as_mut()
             && let Some(d) = self.session.active()
         {
@@ -487,6 +489,10 @@ impl SlideApp {
     }
 
     pub fn save(&mut self) {
+        if self.services.host_save.is_some() {
+            let _ = self.save_to_host(None);
+            return;
+        }
         if self.session.active().and_then(|d| d.path.clone()).is_some() {
             match self.session.execute("file.save", &json!({})) {
                 Ok(_) => self.set_status("Saved"),
@@ -497,6 +503,76 @@ impl SlideApp {
         }
     }
 
+    /// Saves to the page that keeps the files ([`Services::host_save`](crate::Services::host_save)).
+    /// Save (`ext` `None`) writes the presentation's own file (the one the page sent, or the
+    /// last one saved there) in that file's format, as the desktop app does; a presentation with
+    /// no file of its own is a new `.deckcraft` file, the name Save suggests on the desktop. Save
+    /// As (`pptx`, `deckcraft`) is a new file named after the presentation. Once the page has the
+    /// bytes, the presentation is saved and that name is its file. Returns the name, or why it
+    /// wasn't saved (also shown in the status bar).
+    pub(super) fn save_to_host(&mut self, ext: Option<&str>) -> Result<String, String> {
+        use deckcraft_engine::cmd::file::{format_for_path, mark_saved, save_bytes};
+        let Some(d) = self.session.active() else { return Err("no presentation is open".into()) };
+        let own = d.path.as_deref().and_then(|p| std::path::Path::new(p).file_name()).map(|n| n.to_string_lossy().to_string());
+        let (name, save_as) = match (ext, own) {
+            (None, Some(own)) => (own, false),
+            (ext, _) => (format!("{}.{}", d.title(), ext.unwrap_or("deckcraft")), true),
+        };
+        let saved = save_bytes(&d.doc, format_for_path(&name)).map_err(|e| e.to_string()).and_then(|bytes| {
+            let host = self.services.host_save.as_mut().ok_or("no page to save to")?;
+            host(&name, &bytes, save_as).map_err(|e| format!("Couldn't save {name}: {e}"))?;
+            mark_saved(&mut self.session, Some(name.clone())).map_err(|e| e.to_string())
+        });
+        match saved {
+            Ok(()) => {
+                self.set_status(format!("Saved {name}"));
+                Ok(name)
+            }
+            Err(e) => {
+                self.set_status(e.clone());
+                Err(e)
+            }
+        }
+    }
+
+    /// A file the page that keeps the files sent (`?host=parent`), with the name it sent, if any.
+    /// It opens as File › Open opens it on the desktop: a presentation as itself, an outline
+    /// (.txt, .md, .rtf) as a new untitled presentation. The name is the presentation's file only
+    /// when the page sent one with a presentation extension and the file is an intact
+    /// presentation, so Save hands it back under that name and format; anything else (no name, an
+    /// outline, a damaged file opened as a repaired copy) is untitled, and its first Save is a new
+    /// file. An untouched untitled presentation that was the only one open (the blank one the page
+    /// starts with) gives way to the presentation that opened.
+    pub fn open_from_host(&mut self, name: Option<&str>, bytes: &[u8]) {
+        let blank = match self.session.documents() {
+            [d] if d.path.is_none() && !d.is_dirty() => Some(d.uid),
+            _ => None,
+        };
+        let before = self.session.documents().len();
+        let shown = name.unwrap_or("Presentation");
+        let named = name.is_some_and(|n| is_presentation_name(&n.to_ascii_lowercase()));
+        let opened = deckcraft_engine::cmd::file::loaded_file(shown, bytes).and_then(|mut f| {
+            // `file.adopt` keeps the path only for a native file; a name the page didn't send
+            // for a presentation must not become one.
+            f.native &= named;
+            let token = self.session.stage_loaded(f);
+            self.session.execute("file.adopt", &json!({"path": shown, "token": token}))
+        });
+        if let Err(e) = opened {
+            self.notify(e.to_string());
+        }
+        self.drain_requests();
+        if self.session.documents().len() > before
+            && let Some(opened) = self.session.active().map(|d| d.uid)
+            && let Some(i) = self.session.documents().iter().position(|d| Some(d.uid) == blank)
+        {
+            self.session.close_document(i);
+            if let Some(i) = self.session.documents().iter().position(|d| d.uid == opened) {
+                self.session.set_active(i);
+            }
+        }
+    }
+
     /// Act on requests commands left for the UI.
     pub(super) fn drain_requests(&mut self) {
         for r in std::mem::take(&mut self.session.ui_requests) {
diff --git a/crates/ui-egui/src/backstage.rs b/crates/ui-egui/src/backstage.rs
index 0fec08a52..814669728 100644
--- a/crates/ui-egui/src/backstage.rs
+++ b/crates/ui-egui/src/backstage.rs
@@ -249,7 +249,8 @@ fn act(app: &mut SlideApp, nav: Nav, current: Page) -> Option<Page> {
     match nav {
         Nav::Page(p) => Some(p),
         Nav::Save => {
-            let web = app.services.pick_save.is_none() && app.services.download.is_some();
+            // A page that keeps the files (`host_save`) saves as the desktop does.
+            let web = app.services.pick_save.is_none() && app.services.download.is_some() && app.services.host_save.is_none();
             let has_path = app.session.active().is_some_and(|d| d.path.is_some());
             if !has_path && !web {
                 // A presentation that was never saved goes to Save As first, as in PowerPoint.
diff --git a/crates/ui-egui/src/backstage/info.rs b/crates/ui-egui/src/backstage/info.rs
index 0dce74741..27c0cec6d 100644
--- a/crates/ui-egui/src/backstage/info.rs
+++ b/crates/ui-egui/src/backstage/info.rs
@@ -166,10 +166,20 @@ pub(super) fn save_as(app: &mut SlideApp, ui: &mut Ui, bs: &mut Backstage, out:
             })
             .response
             .widget_info(|| egui::WidgetInfo::labeled(egui::Role::ComboBox, true, "Save as type"));
-        let web = app.services.pick_save.is_none();
+        // A page that keeps the files (`host_save`) saves; plain web downloads.
+        let web = app.services.pick_save.is_none() && app.services.host_save.is_none();
         let label = if web { "Download" } else { "Save" };
         let save = ui.add(egui::Button::new(RichText::new(label).color(t.accent_text)).fill(t.accent).min_size(vec2(84.0, 26.0)));
-        if save.on_hover_text(if web { "Download the file" } else { "Choose where to save" }).clicked() {
+        if save
+            .on_hover_text(if web {
+                "Download the file"
+            } else if app.services.host_save.is_some() {
+                "Save to the page"
+            } else {
+                "Choose where to save"
+            })
+            .clicked()
+        {
             let fmt = bs.file_type;
             let done = if matches!(fmt, "pptx" | "deckcraft") {
                 let before = app.session.active().map(|d| (d.path.clone(), d.is_dirty()));
diff --git a/crates/ui-egui/src/backstage/tests.rs b/crates/ui-egui/src/backstage/tests.rs
index e6aa048ac..205a5522c 100644
--- a/crates/ui-egui/src/backstage/tests.rs
+++ b/crates/ui-egui/src/backstage/tests.rs
@@ -393,6 +393,35 @@ fn ctrl_w_asks_before_closing_unsaved_changes() {
     assert_eq!(h.state().dialog.as_ref().map(|d| d.id.as_str()), Some("close"));
 }
 
+/// Framed by a page that keeps the files (`?host=parent`), the Close prompt's Save is a real save:
+/// when the page doesn't get the file the presentation stays open with its changes, and when it
+/// does the presentation closes. (A plain browser download closes either way.)
+#[test]
+fn host_close_prompt_keeps_the_presentation_when_the_save_fails() {
+    for fail in [true, false] {
+        let services = Services {
+            host_save: Some(Box::new(move |_: &str, _: &[u8], _: bool| if fail { Err("the page is gone".into()) } else { Ok(()) })),
+            download: Some(Box::new(|_: &str, _: &[u8]| {})),
+            ..Default::default()
+        };
+        let mut h = harness(SlideApp::new(Session::with_new(), services));
+        h.state_mut().run("slide.new", json!({})).unwrap();
+        h.run_steps(2);
+        h.key_press_modifiers(Modifiers::COMMAND, Key::W);
+        h.run_steps(3);
+        assert_eq!(h.state().dialog.as_ref().map(|d| d.id.as_str()), Some("close"));
+        // Enter is the prompt's Save.
+        h.key_press(Key::Enter);
+        h.run_steps(3);
+        assert!(h.state().dialog.is_none(), "fail={fail}");
+        let open = h.state().session.documents().len();
+        assert_eq!(open, usize::from(fail), "fail={fail}: open presentations");
+        if fail {
+            assert!(h.state().session.active().unwrap().is_dirty());
+        }
+    }
+}
+
 /// Info shows the presentation's counts and properties, and edits them through file.properties.
 #[test]
 fn info_shows_and_edits_the_properties() {
diff --git a/crates/ui-egui/src/dialogs/body.rs b/crates/ui-egui/src/dialogs/body.rs
index cb1a879e9..932cd469a 100644
--- a/crates/ui-egui/src/dialogs/body.rs
+++ b/crates/ui-egui/src/dialogs/body.rs
@@ -339,8 +339,9 @@ fn dlg_close(app: &mut SlideApp, ui: &mut Ui, _d: &mut Dialog) -> bool {
             let save = ui.add(egui::Button::new(egui::RichText::new("Save").color(t.accent_text)).fill(t.accent).min_size(vec2(72.0, 24.0)));
             if save.clicked() || ui.input(|i| i.key_pressed(egui::Key::Enter)) {
                 app.save();
-                // In the browser a save is a download: the presentation stays "unsaved".
-                let web = app.services.pick_save.is_none() && app.services.download.is_some();
+                // In the browser a save is a download: the presentation stays "unsaved". A page
+                // that keeps the files saves it for real, so a failed save keeps it open.
+                let web = app.services.pick_save.is_none() && app.services.download.is_some() && app.services.host_save.is_none();
                 if web || app.session.active().is_some_and(|d| !d.is_dirty()) {
                     run(app, "file.close", json!({}));
                 }
diff --git a/crates/ui-egui/src/host_save_tests.rs b/crates/ui-egui/src/host_save_tests.rs
new file mode 100644
index 000000000..8b9b03c08
--- /dev/null
+++ b/crates/ui-egui/src/host_save_tests.rs
@@ -0,0 +1,198 @@
+//! The web build framed by a page that keeps the files (`?host=parent`): what Save, Save As,
+//! the exports and Print hand that page, under which name, and whether it is a new file.
+#![allow(clippy::unwrap_used, clippy::expect_used)]
+
+use std::cell::RefCell;
+use std::rc::Rc;
+
+use serde_json::json;
+
+use super::{Services, SlideApp};
+use crate::Session;
+
+/// What the page was handed: (name, Save As, bytes).
+type Got = Rc<RefCell<Vec<(String, bool, Vec<u8>)>>>;
+
+/// The web app inside such a page, with `host_save` and `download` pointed at it as the bridge
+/// does; `fail` makes every save miss the page.
+fn host_app(fail: bool) -> (SlideApp, Got) {
+    let got: Got = Rc::default();
+    let (saves, downloads) = (got.clone(), got.clone());
+    let services = Services {
+        host_save: Some(Box::new(move |name: &str, bytes: &[u8], save_as: bool| {
+            if fail {
+                return Err("the page is gone".into());
+            }
+            saves.borrow_mut().push((name.to_string(), save_as, bytes.to_vec()));
+            Ok(())
+        })),
+        download: Some(Box::new(move |name: &str, bytes: &[u8]| downloads.borrow_mut().push((name.to_string(), false, bytes.to_vec())))),
+        ..Default::default()
+    };
+    // The page starts with a blank presentation, as the web shell does in host mode.
+    (SlideApp::new(Session::with_new(), services), got)
+}
+
+/// A .pptx with `slides` slides, as the page would send it.
+fn pptx(slides: usize) -> Vec<u8> {
+    let mut s = Session::with_new();
+    while s.doc().unwrap().doc.slides.len() < slides {
+        s.execute("slide.new", &json!({})).unwrap();
+    }
+    deckcraft_engine::cmd::file::save_bytes(&s.doc().unwrap().doc, "pptx").unwrap()
+}
+
+fn edit(app: &mut SlideApp) {
+    app.session.execute("slide.new", &json!({})).unwrap();
+    assert!(app.session.active().unwrap().is_dirty());
+}
+
+fn calls(got: &Got) -> Vec<(String, bool)> {
+    got.borrow().iter().map(|(n, s, _)| (n.clone(), *s)).collect()
+}
+
+fn path(app: &SlideApp) -> Option<String> {
+    app.session.active().and_then(|d| d.path.clone())
+}
+
+/// The bug this prevents: Save of a .pptx the page sent came back as `<name>.deckcraft`. Save
+/// now hands the page the opened file under its own name and format, not as a new file; Save As
+/// says it is a new file and becomes the file the next Save writes.
+#[test]
+fn host_saves_go_back_to_the_opened_file() {
+    let (mut app, got) = host_app(false);
+    app.open_from_host(Some("Lecture 3.pptx"), &pptx(2));
+    assert_eq!(app.session.documents().len(), 1, "the untouched blank presentation gave way");
+    edit(&mut app);
+    app.save();
+    assert!(!app.session.active().unwrap().is_dirty());
+    edit(&mut app);
+    app.save_as_dialog("deckcraft");
+    assert!(!app.session.active().unwrap().is_dirty());
+    edit(&mut app);
+    app.save();
+    let names = [("Lecture 3.pptx", false), ("Lecture 3.deckcraft", true), ("Lecture 3.deckcraft", false)];
+    assert_eq!(calls(&got), names.map(|(n, s)| (n.to_string(), s)));
+    // The first save is a .pptx that reopens with the edit in it.
+    let first = got.borrow()[0].2.clone();
+    assert!(first.windows(20).any(|w| w == b"ppt/presentation.xml"), "Save writes PowerPoint, not .deckcraft");
+    let reopened = deckcraft_engine::cmd::file::loaded_file("Lecture 3.pptx", &first).unwrap();
+    assert_eq!(reopened.doc.slides.len(), 3);
+}
+
+/// A presentation the page never sent is a new file, as Save As: the page must not overwrite a
+/// file of the same name. The next Save goes back to it.
+#[test]
+fn host_save_of_an_untitled_presentation_is_save_as() {
+    let (mut app, got) = host_app(false);
+    let name = format!("{}.deckcraft", app.session.active().unwrap().title());
+    edit(&mut app);
+    app.save();
+    edit(&mut app);
+    app.save();
+    assert_eq!(calls(&got), [(name.clone(), true), (name, false)]);
+}
+
+/// A presentation the user dropped (or picked with File › Open) didn't come from the page, so
+/// its name isn't one the page holds: Save makes a new file.
+#[test]
+fn a_file_the_page_never_sent_saves_as_a_new_file() {
+    let (mut app, got) = host_app(false);
+    app.open_or_insert_bytes("dropped.pptx", &pptx(1));
+    app.save();
+    assert_eq!(calls(&got), [("dropped.deckcraft".to_string(), true)]);
+}
+
+/// Exports and Print are copies: named after the presentation, not a new file, and the
+/// presentation keeps its own file and its unsaved changes.
+#[test]
+fn host_exports_and_print_are_copies() {
+    let (mut app, got) = host_app(false);
+    app.open_from_host(Some("deck.pptx"), &pptx(1));
+    edit(&mut app);
+    assert!(app.export_as("pdf", json!({})));
+    assert!(app.print_pdf(json!({})));
+    assert_eq!(calls(&got), [("deck.pdf".to_string(), false), ("deck.pdf".to_string(), false)]);
+    assert!(app.session.active().unwrap().is_dirty());
+    assert_eq!(path(&app).as_deref(), Some("deck.pptx"));
+}
+
+/// The page not getting the file is a failed save: the presentation keeps its changes.
+#[test]
+fn a_host_save_that_fails_leaves_the_presentation_unsaved() {
+    let (mut app, _) = host_app(true);
+    app.open_from_host(Some("deck.pptx"), &pptx(1));
+    edit(&mut app);
+    app.save();
+    assert!(app.session.active().unwrap().is_dirty());
+    assert!(app.status.as_ref().is_some_and(|(m, _)| m.contains("Couldn't save deck.pptx")));
+}
+
+/// Only an untouched start presentation gives way: one with changes stays open beside the file.
+#[test]
+fn an_edited_start_presentation_stays_open() {
+    let (mut app, _) = host_app(false);
+    edit(&mut app);
+    app.open_from_host(Some("deck.pptx"), &pptx(1));
+    assert_eq!(app.session.documents().len(), 2);
+    assert_eq!(path(&app).as_deref(), Some("deck.pptx"));
+}
+
+/// The command palette runs `file.save` by id. With a file of its own the engine would write to
+/// that path, which a browser can't; in host mode it goes to the page like Ctrl+S.
+#[test]
+fn palette_save_goes_to_the_page() {
+    let (mut app, got) = host_app(false);
+    app.open_from_host(Some("deck.pptx"), &pptx(1));
+    edit(&mut app);
+    let r = app.run("file.save", json!({})).unwrap();
+    assert_eq!(r["path"], "deck.pptx");
+    assert_eq!(calls(&got), [("deck.pptx".to_string(), false)]);
+    assert!(!app.session.active().unwrap().is_dirty());
+}
+
+/// A file the page sent without a name, or with a name that isn't a presentation's, has no file
+/// of its own: Save is a new `.deckcraft`, never an overwrite of an invented `Presentation.pptx`.
+#[test]
+fn a_file_sent_without_a_presentation_name_saves_as_a_new_file() {
+    for (name, saved) in [(None, "Presentation.deckcraft"), (Some("Talk"), "Talk.deckcraft")] {
+        let (mut app, got) = host_app(false);
+        app.open_from_host(name, &pptx(2));
+        assert_eq!(app.session.documents().len(), 1, "{name:?}");
+        assert_eq!(app.session.active().unwrap().doc.slides.len(), 2, "{name:?}");
+        assert_eq!(path(&app), None, "{name:?}");
+        app.save();
+        assert_eq!(calls(&got), [(saved.to_string(), true)], "{name:?}");
+    }
+}
+
+/// An outline from the page opens as a new untitled presentation, as File › Open does on the
+/// desktop: the blank start presentation gives way, and Save is a new file.
+#[test]
+fn an_outline_from_the_page_opens_as_a_new_presentation() {
+    let (mut app, got) = host_app(false);
+    app.open_from_host(Some("notes.md"), b"# One\n\n# Two\n\n# Three\n");
+    assert_eq!(app.session.documents().len(), 1);
+    assert_eq!(app.session.active().unwrap().doc.slides.len(), 3);
+    assert_eq!(path(&app), None);
+    app.save();
+    assert_eq!(calls(&got), [("notes.deckcraft".to_string(), true)]);
+}
+
+/// A damaged file from the page opens as an untitled "(Repaired)" copy, so Save is a new file
+/// and can't overwrite the page's original with the emptied media.
+#[test]
+fn a_damaged_file_from_the_page_saves_as_a_new_repaired_file() {
+    let mut p = deckcraft_model::Presentation::default();
+    p.add_media("a.png", "image/png", b"PICTURE-BYTES-0123456789".to_vec());
+    let mut bad = deckcraft_engine::cmd::file::save_bytes(&p, "deckcraft").unwrap();
+    // Pictures are stored as they are, so flipping a byte breaks the entry's CRC.
+    let at = bad.windows(13).position(|w| w == b"PICTURE-BYTES").unwrap();
+    bad[at] ^= 0xff;
+    let (mut app, got) = host_app(false);
+    app.open_from_host(Some("talk.deckcraft"), &bad);
+    assert_eq!(path(&app), None);
+    assert!(app.session.active().unwrap().title().ends_with("(Repaired)"));
+    app.save();
+    assert_eq!(calls(&got), [("talk (Repaired).deckcraft".to_string(), true)]);
+}
diff --git a/crates/ui-egui/src/lib.rs b/crates/ui-egui/src/lib.rs
index 5f624d9c0..0f0e664f8 100644
--- a/crates/ui-egui/src/lib.rs
+++ b/crates/ui-egui/src/lib.rs
@@ -72,7 +72,7 @@ pub use panels::notes;
 pub use panels::selpane;
 pub use panels::thumbs;
 pub use ribbon::qat;
-pub use services::{DownloadFn, Inbox, InboxEvent, InboxFile, OpenAsyncFn, PickFn, ReadFn, Services, WriteFn};
+pub use services::{DownloadFn, HostSaveFn, Inbox, InboxEvent, InboxFile, OpenAsyncFn, PickFn, ReadFn, Services, WriteFn};
 use state::{FilePlace, FilePurpose, ImeDescriptorKey, ImeDestination, ImeTerminalStamp};
 pub use state::{RECENT_MAX, UiState, ViewMode, ZOOM_RANGE};
 
@@ -487,5 +487,8 @@ mod datetime_tests;
 #[cfg(test)]
 mod inbox_tests;
 
+#[cfg(test)]
+mod host_save_tests;
+
 #[cfg(test)]
 mod tests;
diff --git a/crates/ui-egui/src/services.rs b/crates/ui-egui/src/services.rs
index fc8eb5d96..b6f8a0f50 100644
--- a/crates/ui-egui/src/services.rs
+++ b/crates/ui-egui/src/services.rs
@@ -11,6 +11,10 @@ pub type OpenAsyncFn = Box<dyn FnMut(&str, u64)>;
 
 pub type DownloadFn = Box<dyn FnMut(&str, &[u8])>;
 
+/// [`Services::host_save`]: `(file name, bytes, save_as)`. An error means the page didn't get
+/// the file, and the save failed.
+pub type HostSaveFn = Box<dyn FnMut(&str, &[u8], bool) -> Result<(), String>>;
+
 /// A file the host finished reading for the request `id` from [`SlideApp::begin_external_file`].
 #[derive(Clone, Debug)]
 pub struct InboxFile {
@@ -49,6 +53,15 @@ pub struct Services {
     pub open_async: Option<OpenAsyncFn>,
     /// Hand bytes to the user as a named file (browser download).
     pub download: Option<DownloadFn>,
+    /// Web, framed by a page that keeps the files (`?host=parent`): Save and Save As hand the
+    /// presentation to that page instead of downloading it, with whether it is a new file
+    /// ([`HostSaveFn`]). Save writes a presentation the page sent back under its own name and
+    /// format, as the desktop app writes back to the file it opened; a presentation the page
+    /// never sent (an untitled one, a repaired copy) goes as a new `.deckcraft` file, as Save
+    /// suggests on the desktop. Save As (.pptx or .deckcraft) is always a new file. Either way the
+    /// presentation is then that file, and the next Save goes to it. Exports and Print still go
+    /// through `download`, which the host also points at the page: they are copies.
+    pub host_save: Option<HostSaveFn>,
     pub inbox: Option<Inbox>,
     /// Image on the system clipboard (PNG bytes), when the host can read one.
     pub clipboard_image: Option<Box<dyn FnMut() -> Option<Vec<u8>>>>,
diff --git a/packaging/web/README.md b/packaging/web/README.md
index 3b4f9a231..e9622f5aa 100644
--- a/packaging/web/README.md
+++ b/packaging/web/README.md
@@ -65,12 +65,74 @@ Local test: `python3 -m http.server 8765` inside the folder, then open http://lo
 - The app fills the iframe and follows its size, so size the iframe and not the app.
 - Keyboard shortcuts go to the iframe after the user clicks into it, as with any embedded app.
 - **Cross-origin embeds** work. The web build keeps no preferences between visits; it starts
-  with the sample deck (or `?blank`) every time.
+  with the sample deck (or `?blank`) every time. Opening and saving through the page
+  (`?host=parent`, below) needs the same origin.
 - **Sandboxed iframes** need at least
   `sandbox="allow-scripts allow-same-origin allow-downloads allow-popups"`. Without `allow-downloads`, Save and Export (browser
-  downloads) are blocked.
+  downloads) are blocked. With `?host=parent`, `allow-scripts allow-same-origin` is enough for
+  opening and saving (without `allow-same-origin` the frame's origin is `null` and there is no
+  bridge), and `allow-downloads` isn't needed.
 - Don't send `X-Frame-Options: DENY` or a `frame-ancestors` CSP that excludes the embedding page.
 
+## Opening and saving through the page (`?host=parent`)
+
+A page that keeps the files itself (a Nextcloud app, a file server) can frame DeckCraft with
+`?host=parent` on the iframe `src`, hand it a presentation and take back what it saves, instead of
+the user downloading. GridCraft, WordCraft and PdfCraft have the same bridge with their own prefix.
+The page and DeckCraft must be on the **same origin**: DeckCraft only hears and answers its parent
+window on its own origin, and without one it downloads as usual.
+
+Messages are plain objects with a `type`:
+
+| Message | Direction | Fields |
+|---|---|---|
+| `deckcraft:ready` | to the page | `version`. The app runs and listens: send the file now. |
+| `deckcraft:open` | from the page | `name` (a bare file name, such as `Talk.pptx`), `bytes` (`ArrayBuffer` or `Uint8Array`). Opens like File › Open: a presentation (.pptx, .potx, .ppsx, .deckcraft) has that name as its file; an outline (.txt, .md, .rtf), a file sent without a name and a damaged file open untitled. |
+| `deckcraft:save` | to the page | `name`, `saveAs`, `bytes` (a transferred `ArrayBuffer`), for every file DeckCraft would otherwise download. The page stores it. |
+| `deckcraft:dirty` | to the page | `dirty`, whenever unsaved changes appear or go away. |
+| `deckcraft:failed` | to the page | `error`, when the app couldn't start (no WebGPU or WebGL2). |
+
+`saveAs` says whether the file becomes the presentation's file, as on the desktop:
+
+- **Save** sends the file the page sent, under its own name and format (`Talk.pptx` comes back
+  as `Talk.pptx`), with `saveAs: false`. DeckCraft keeps only the part after the last `/`, so
+  `docs/Talk.pptx` also comes back as `Talk.pptx`. A presentation that has no file the page sent
+  (a new one, an outline, a file sent without a name, a file the user dropped, a repaired copy of
+  a damaged file) is a new file with `saveAs: true`: Ctrl+S names it `<title>.deckcraft` as Save
+  suggests on the desktop, and File › Save opens the Save As page first, as on the desktop.
+- **Save As** (.pptx or .deckcraft) sends `saveAs: true`. The presentation is now that file; the
+  next Save sends its name with `saveAs: false`.
+- **Exports and Print** (PDF, handouts, pictures, outline, GIF) send `saveAs: false` and are
+  copies: the presentation keeps its file and its unsaved changes.
+
+`saveAs: false` doesn't mean "safe to overwrite": an export is `false` under a name the page may
+already hold (`Talk.pdf`, or `Talk.pptx` exported from a presentation that is now
+`Talk.deckcraft`). Replace a file without asking only when the name is the one the page sent, or
+the name of the last `saveAs: true` file it stored for this presentation; ask for anything else.
+DeckCraft doesn't learn the name the page finally stores a Save As under, so a page that renames
+on a conflict should map later Saves of the old name itself.
+
+In host mode DeckCraft starts with an empty presentation instead of the sample, and the first
+presentation the page sends takes its place. The page guards leaving itself (DeckCraft adds no
+guard of its own), and `&author=Name` signs the user's comments.
+
+```html
+<iframe id="deck" src="/deckcraft/?host=parent&author=Ada" style="width: 100%; height: 720px; border: 0;"></iframe>
+<script>
+  const frame = document.getElementById("deck");
+  addEventListener("message", async (e) => {
+    if (e.origin !== location.origin || e.source !== frame.contentWindow) return;
+    if (e.data.type === "deckcraft:ready") {
+      const bytes = await (await fetch("/files/Talk.pptx")).arrayBuffer();
+      frame.contentWindow.postMessage({ type: "deckcraft:open", name: "Talk.pptx", bytes }, location.origin, [bytes]);
+    } else if (e.data.type === "deckcraft:save") {
+      // Store e.data.bytes as e.data.name. Replace silently only when !e.data.saveAs and the name
+      // is the one sent (or the last saveAs file stored); ask before replacing anything else.
+    }
+  });
+</script>
+```
+
 ## Renderer selection and fallback flags
 
 DeckCraft renders with wgpu. It uses **WebGPU** when the browser has it and falls back to
@@ -82,6 +144,7 @@ DeckCraft renders with wgpu. It uses **WebGPU** when the browser has it and fall
 | `?webgl` | Force the WebGL2 backend (useful when a WebGPU driver misbehaves) |
 | `?blank` | Start with an empty presentation instead of the sample deck |
 | `?show` | Start the slide show immediately (kiosk/embedded decks) |
+| `?host=parent` | Open and save through the framing page ([above](#opening-and-saving-through-the-page-hostparent)); `&author=` names the user |
 
 For example: `<iframe src="https://example.com/deckcraft/?webgl" ...>`.