diff --git a/public/locales/en-GB/app.json b/public/locales/en-GB/app.json
index 84798e1e..f769c7e0 100644
--- a/public/locales/en-GB/app.json
+++ b/public/locales/en-GB/app.json
@@ -26,6 +26,7 @@
   "Close": "Close",
   "Confirm password": "Confirm password",
   "Connectivity to the server has been lost.": "Connectivity to the server has been lost.",
+  "Continue in browser": "Continue in browser",
   "Copied!": "Copied!",
   "Copy": "Copy",
   "Copy and share this call link": "Copy and share this call link",
@@ -65,14 +66,17 @@
   "Microphone off": "Microphone off",
   "Microphone on": "Microphone on",
   "More": "More",
+  "Mute microphone": "Mute microphone",
   "Name of call": "Name of call",
   "No": "No",
   "Not encrypted": "Not encrypted",
   "Not now, return to home screen": "Not now, return to home screen",
   "Not registered yet? <2>Create an account</2>": "Not registered yet? <2>Create an account</2>",
+  "Open in the app": "Open in the app",
   "Password": "Password",
   "Passwords must match": "Passwords must match",
   "Profile": "Profile",
+  "Ready to join?": "Ready to join?",
   "Recaptcha dismissed": "Recaptcha dismissed",
   "Recaptcha not loaded": "Recaptcha not loaded",
   "Reconnect": "Reconnect",
@@ -82,6 +86,7 @@
   "Retry sending logs": "Retry sending logs",
   "Return to home screen": "Return to home screen",
   "Select an option": "Select an option",
+  "Select app": "Select app",
   "Send debug logs": "Send debug logs",
   "Sending debug logs…": "Sending debug logs…",
   "Sending…": "Sending…",
@@ -97,6 +102,8 @@
   "Speaker": "Speaker",
   "Spotlight": "Spotlight",
   "Start new call": "Start new call",
+  "Start video": "Start video",
+  "Stop video": "Stop video",
   "Submit": "Submit",
   "Submit feedback": "Submit feedback",
   "Submitting…": "Submitting…",
@@ -105,12 +112,11 @@
   "Thanks!": "Thanks!",
   "This call already exists, would you like to join?": "This call already exists, would you like to join?",
   "This site is protected by ReCAPTCHA and the Google <2>Privacy Policy</2> and <6>Terms of Service</6> apply.<9></9>By clicking \"Register\", you agree to our <12>End User Licensing Agreement (EULA)</12>": "This site is protected by ReCAPTCHA and the Google <2>Privacy Policy</2> and <6>Terms of Service</6> apply.<9></9>By clicking \"Register\", you agree to our <12>End User Licensing Agreement (EULA)</12>",
+  "Unmute microphone": "Unmute microphone",
   "User menu": "User menu",
   "Username": "Username",
   "Version: {{version}}": "Version: {{version}}",
   "Video": "Video",
-  "Video off": "Video off",
-  "Video on": "Video on",
   "Waiting for other participants…": "Waiting for other participants…",
   "Yes, join call": "Yes, join call",
   "You": "You",
diff --git a/src/UrlParams.ts b/src/UrlParams.ts
index 6a2ea501..4aa6ace4 100644
--- a/src/UrlParams.ts
+++ b/src/UrlParams.ts
@@ -90,6 +90,22 @@ interface UrlParams {
   password: string | null;
 }
 
+export function editFragmentQuery(
+  hash: string,
+  edit: (params: URLSearchParams) => URLSearchParams
+): string {
+  const fragmentQueryStart = hash.indexOf("?");
+  const fragmentParams = edit(
+    new URLSearchParams(
+      fragmentQueryStart === -1 ? "" : hash.substring(fragmentQueryStart)
+    )
+  );
+  return `${hash.substring(
+    0,
+    fragmentQueryStart
+  )}?${fragmentParams.toString()}`;
+}
+
 /**
  * Gets the app parameters for the current URL.
  * @param ignoreRoomAlias If true, does not try to parse a room alias from the URL
diff --git a/src/button/Button.tsx b/src/button/Button.tsx
index 2b8049e5..3d269dc2 100644
--- a/src/button/Button.tsx
+++ b/src/button/Button.tsx
@@ -145,11 +145,11 @@ export function MicButton({
 }) {
   const { t } = useTranslation();
   const Icon = muted ? MicOffSolidIcon : MicOnSolidIcon;
-  const label = muted ? t("Microphone off") : t("Microphone on");
+  const label = muted ? t("Unmute microphone") : t("Mute microphone");
 
   return (
     <Tooltip label={label}>
-      <Button variant="toolbar" {...rest} on={!muted}>
+      <Button variant="toolbar" {...rest} on={muted}>
         <Icon aria-label={label} />
       </Button>
     </Tooltip>
@@ -166,11 +166,11 @@ export function VideoButton({
 }) {
   const { t } = useTranslation();
   const Icon = muted ? VideoCallOffIcon : VideoCallIcon;
-  const label = muted ? t("Video off") : t("Video on");
+  const label = muted ? t("Start video") : t("Stop video");
 
   return (
     <Tooltip label={label}>
-      <Button variant="toolbar" {...rest} on={!muted}>
+      <Button variant="toolbar" {...rest} on={muted}>
         <Icon aria-label={label} />
       </Button>
     </Tooltip>
diff --git a/src/room/AppSelectionModal.module.css b/src/room/AppSelectionModal.module.css
new file mode 100644
index 00000000..773df4fd
--- /dev/null
+++ b/src/room/AppSelectionModal.module.css
@@ -0,0 +1,33 @@
+/*
+Copyright 2023 New Vector Ltd
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+.modal p {
+  text-align: center;
+  margin-block-end: var(--cpd-space-8x);
+}
+
+.modal button,
+.modal a {
+  width: 100%;
+}
+
+.modal button {
+  margin-block-end: var(--cpd-space-6x);
+}
+
+.modal a {
+  box-sizing: border-box;
+}
diff --git a/src/room/AppSelectionModal.tsx b/src/room/AppSelectionModal.tsx
new file mode 100644
index 00000000..8d4a05f8
--- /dev/null
+++ b/src/room/AppSelectionModal.tsx
@@ -0,0 +1,80 @@
+/*
+Copyright 2023 New Vector Ltd
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+import { FC, MouseEvent, useCallback, useMemo, useState } from "react";
+import { useTranslation } from "react-i18next";
+import { Button, Text } from "@vector-im/compound-web";
+import { ReactComponent as PopOutIcon } from "@vector-im/compound-design-tokens/icons/pop-out.svg";
+
+import { Modal } from "../Modal";
+import { useRoomSharedKey } from "../e2ee/sharedKeyManagement";
+import { getRoomUrl } from "../matrix-utils";
+import styles from "./AppSelectionModal.module.css";
+import { editFragmentQuery } from "../UrlParams";
+
+interface Props {
+  roomId: string | null;
+}
+
+export const AppSelectionModal: FC<Props> = ({ roomId }) => {
+  const { t } = useTranslation();
+
+  const [open, setOpen] = useState(true);
+  const onBrowserClick = useCallback(
+    (e: MouseEvent) => {
+      e.preventDefault();
+      e.stopPropagation();
+      setOpen(false);
+    },
+    [setOpen]
+  );
+
+  const roomSharedKey = useRoomSharedKey(roomId ?? "");
+  const appUrl = useMemo(() => {
+    // If the room ID is not known, fall back to the URL of the current page
+    const url = new URL(
+      roomId === null
+        ? window.location.href
+        : getRoomUrl(roomId, roomSharedKey ?? undefined)
+    );
+    // Edit the URL so that it opens in embedded mode. We do this for two
+    // reasons: It causes the mobile app to limit the user to only visiting the
+    // room in question, and it prevents this app selection prompt from being
+    // shown a second time.
+    url.hash = editFragmentQuery(url.hash, (params) => {
+      params.set("isEmbedded", "");
+      return params;
+    });
+
+    const result = new URL("element://call");
+    result.searchParams.set("url", url.toString());
+    return result.toString();
+  }, [roomId, roomSharedKey]);
+
+  return (
+    <Modal className={styles.modal} title={t("Select app")} open={open}>
+      <Text size="md" weight="semibold">
+        {t("Ready to join?")}
+      </Text>
+      <Button kind="secondary" onClick={onBrowserClick}>
+        {t("Continue in browser")}
+      </Button>
+      <Button as="a" href={appUrl} Icon={PopOutIcon}>
+        {t("Open in the app")}
+      </Button>
+    </Modal>
+  );
+};
diff --git a/src/room/CallEndedView.module.css b/src/room/CallEndedView.module.css
index 9952a784..12409d4e 100644
--- a/src/room/CallEndedView.module.css
+++ b/src/room/CallEndedView.module.css
@@ -17,7 +17,8 @@ limitations under the License.
 .headline {
   text-align: center;
   margin-bottom: 60px;
-  white-space: pre;
+  white-space: pre-wrap;
+  overflow-wrap: break-word;
 }
 
 .callEndedContent {
@@ -66,6 +67,7 @@ limitations under the License.
   flex: 1;
   flex-direction: column;
   align-items: center;
+  padding-inline: var(--inline-content-inset);
 }
 
 .logo {
diff --git a/src/room/RoomPage.tsx b/src/room/RoomPage.tsx
index c7eed871..35cdda27 100644
--- a/src/room/RoomPage.tsx
+++ b/src/room/RoomPage.tsx
@@ -14,7 +14,7 @@ See the License for the specific language governing permissions and
 limitations under the License.
 */
 
-import { FC, useEffect, useState, useCallback } from "react";
+import { FC, useEffect, useState, useCallback, ReactNode } from "react";
 import { MatrixRTCSession } from "matrix-js-sdk/src/matrixrtc/MatrixRTCSession";
 
 import { useClientLegacy } from "../ClientContext";
@@ -26,6 +26,8 @@ import { useUrlParams } from "../UrlParams";
 import { useRegisterPasswordlessUser } from "../auth/useRegisterPasswordlessUser";
 import { useOptInAnalytics } from "../settings/useSetting";
 import { HomePage } from "../home/HomePage";
+import { platform } from "../Platform";
+import { AppSelectionModal } from "./AppSelectionModal";
 
 export const RoomPage: FC = () => {
   const {
@@ -85,29 +87,36 @@ export const RoomPage: FC = () => {
     [client, passwordlessUser, isEmbedded, preload, hideHeader]
   );
 
+  let content: ReactNode;
   if (loading || isRegistering) {
-    return <LoadingView />;
-  }
-
-  if (error) {
-    return <ErrorView error={error} />;
-  }
-
-  if (!client) {
-    return <RoomAuthView />;
-  }
-
-  if (!roomIdOrAlias) {
-    return <HomePage />;
+    content = <LoadingView />;
+  } else if (error) {
+    content = <ErrorView error={error} />;
+  } else if (!client) {
+    content = <RoomAuthView />;
+  } else if (!roomIdOrAlias) {
+    // TODO: This doesn't belong here, the app routes need to be reworked
+    content = <HomePage />;
+  } else {
+    content = (
+      <GroupCallLoader
+        client={client}
+        roomIdOrAlias={roomIdOrAlias}
+        viaServers={viaServers}
+      >
+        {groupCallView}
+      </GroupCallLoader>
+    );
   }
 
   return (
-    <GroupCallLoader
-      client={client}
-      roomIdOrAlias={roomIdOrAlias}
-      viaServers={viaServers}
-    >
-      {groupCallView}
-    </GroupCallLoader>
+    <>
+      {content}
+      {/* On mobile, show a prompt to launch the mobile app. If in embedded mode,
+    that means we *are* in the mobile app and should show no further prompt. */}
+      {(platform === "android" || platform === "ios") && !isEmbedded && (
+        <AppSelectionModal roomId={roomId} />
+      )}
+    </>
   );
 };
diff --git a/yarn.lock b/yarn.lock
index 6ab5f6cf..6ed7f185 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -4564,11 +4564,16 @@
     "@types/tough-cookie" "*"
     parse5 "^7.0.0"
 
-"@types/json-schema@*", "@types/json-schema@^7.0.12", "@types/json-schema@^7.0.4", "@types/json-schema@^7.0.5", "@types/json-schema@^7.0.8":
+"@types/json-schema@*", "@types/json-schema@^7.0.12", "@types/json-schema@^7.0.4", "@types/json-schema@^7.0.8":
   version "7.0.12"
   resolved "https://registry.yarnpkg.com/@types/json-schema/-/json-schema-7.0.12.tgz#d70faba7039d5fca54c83c7dbab41051d2b6f6cb"
   integrity sha512-Hr5Jfhc9eYOQNPYO5WLDq/n4jqijdHNlDXjuAQkkt+mWdQR+XJToOHrsD4cPaMXpn6KO7y2+wM8AZEs8VpBLVA==
 
+"@types/json-schema@^7.0.5":
+  version "7.0.13"
+  resolved "https://registry.yarnpkg.com/@types/json-schema/-/json-schema-7.0.13.tgz#02c24f4363176d2d18fc8b70b9f3c54aba178a85"
+  integrity sha512-RbSSoHliUbnXj3ny0CNFOoxrIDV6SUGyStHsvDqosw6CkdPV8TtWGlfecuK4ToyMEAql6pzNxgCFKanovUzlgQ==
+
 "@types/json5@^0.0.29":
   version "0.0.29"
   resolved "https://registry.yarnpkg.com/@types/json5/-/json5-0.0.29.tgz#ee28707ae94e11d2b827bcbe5270bcea7f3e71ee"
@@ -4615,9 +4620,9 @@
   integrity sha512-Mnq3O9Xz52exs3mlxMcQuA7/9VFe/dXcrgAyfjLkABIqxXKOgBRjyazTxUbjsxDa4BP7hhPliyjVTP9RDP14xg==
 
 "@types/node@^18.13.0":
-  version "18.13.0"
-  resolved "https://registry.yarnpkg.com/@types/node/-/node-18.13.0.tgz#0400d1e6ce87e9d3032c19eb6c58205b0d3f7850"
-  integrity sha512-gC3TazRzGoOnoKAhUx+Q0t8S9Tzs74z7m0ipwGpSqQrleP14hKxP4/JUeEQcD3W1/aIpnWl8pHowI7WokuZpXg==
+  version "18.17.17"
+  resolved "https://registry.yarnpkg.com/@types/node/-/node-18.17.17.tgz#53cc07ce582c9d7c5850702a3c2cb0af0d7b0ca1"
+  integrity sha512-cOxcXsQ2sxiwkykdJqvyFS+MLQPLvIdwh5l6gNg8qF6s+C7XSkEWOZjK+XhUZd+mYvHV/180g2cnCcIl4l06Pw==
 
 "@types/normalize-package-data@^2.4.0":
   version "2.4.1"
@@ -4650,9 +4655,9 @@
   integrity sha512-JCB8C6SnDoQf0cNycqd/35A7MjcnK+ZTqE7judS6o7utxUCg6imJg3QK2qzHKszlTjcj2cn+NwMB2i96ubpj7w==
 
 "@types/q@^1.5.1":
-  version "1.5.5"
-  resolved "https://registry.yarnpkg.com/@types/q/-/q-1.5.5.tgz#75a2a8e7d8ab4b230414505d92335d1dcb53a6df"
-  integrity sha512-L28j2FcJfSZOnL1WBjDYp2vUHCeIFlyYI/53EwD/rKUBQ7MtUUfbQWiyKJGpcnv4/WgrhWsFKrcPstcAt/J0tQ==
+  version "1.5.6"
+  resolved "https://registry.yarnpkg.com/@types/q/-/q-1.5.6.tgz#a6edffe8283910e46dc7a573621f928e6b47fa56"
+  integrity sha512-IKjZ8RjTSwD4/YG+2gtj7BPFRB/lNbWKTiSj3M7U/TD2B7HfYCxvp2Zz6xA2WIY7pAuL1QOUPw8gQRbUrrq4fQ==
 
 "@types/qs@^6.9.5":
   version "6.9.8"
@@ -4660,9 +4665,9 @@
   integrity sha512-u95svzDlTysU5xecFNTgfFG5RUWu1A9P0VzgpcIiGZA9iraHOdSzcxMxQ55DyeRaGCSxQi7LxXDI4rzq/MYfdg==
 
 "@types/react-dom@^18.0.0":
-  version "18.0.7"
-  resolved "https://registry.yarnpkg.com/@types/react-dom/-/react-dom-18.0.7.tgz#ee7cf8ec4e6977e3f0a7b1d38bd89c75aa2aec28"
-  integrity sha512-HaXc+BbqAZE1RdsK3tC8SbkFy6UL2xF76lT9rQs5JkPrJg3rWA3Ou/Lhw3YJQzEDkBpmJ79nBsfnd05WrBd2QQ==
+  version "18.2.7"
+  resolved "https://registry.yarnpkg.com/@types/react-dom/-/react-dom-18.2.7.tgz#67222a08c0a6ae0a0da33c3532348277c70abb63"
+  integrity sha512-GRaAEriuT4zp9N4p1i8BDBYmEyfo+xQ3yHjJU4eiK5NDa1RmUZG+unZABUTK4/Ox/M+GaHwb6Ow8rUITrtjszA==
   dependencies:
     "@types/react" "*"
 
@@ -4905,17 +4910,17 @@
     "@typescript-eslint/types" "6.1.0"
     eslint-visitor-keys "^3.4.1"
 
-"@use-gesture/core@10.2.27":
-  version "10.2.27"
-  resolved "https://registry.yarnpkg.com/@use-gesture/core/-/core-10.2.27.tgz#0f24b17c036cd828ba07e3451ff45e2df959c6f5"
-  integrity sha512-V4XV7hn9GAD2MYu8yBBVi5iuWBsAMfjPRMsEVzoTNGYH72tf0kFP+OKqGKc8YJFQIJx6yj+AOqxmEHOmx2/MEA==
+"@use-gesture/core@10.3.0":
+  version "10.3.0"
+  resolved "https://registry.yarnpkg.com/@use-gesture/core/-/core-10.3.0.tgz#9afd3777a45b2a08990a5dcfcf8d9ddd55b00db9"
+  integrity sha512-rh+6MND31zfHcy9VU3dOZCqGY511lvGcfyJenN4cWZe0u1BH6brBpBddLVXhF2r4BMqWbvxfsbL7D287thJU2A==
 
 "@use-gesture/react@^10.2.11":
-  version "10.2.27"
-  resolved "https://registry.yarnpkg.com/@use-gesture/react/-/react-10.2.27.tgz#7fbd50d14449ec5bc49c9b6cfef8a2845f5e0608"
-  integrity sha512-7E5vnWCxeslWlxwZ8uKIcnUZVMTRMZ8cvSnLLKF1NkyNb3PnNiAzoXM4G1vTKJKRhgOTeI6wK1YsEpwo9ABV5w==
+  version "10.3.0"
+  resolved "https://registry.yarnpkg.com/@use-gesture/react/-/react-10.3.0.tgz#180534c821fd635c2853cbcfa813f92c94f27e3f"
+  integrity sha512-3zc+Ve99z4usVP6l9knYVbVnZgfqhKah7sIG+PS2w+vpig2v2OLct05vs+ZXMzwxdNCMka8B+8WlOo0z6Pn6DA==
   dependencies:
-    "@use-gesture/core" "10.2.27"
+    "@use-gesture/core" "10.3.0"
 
 "@vector-im/compound-design-tokens@^0.0.5":
   version "0.0.5"
@@ -5789,7 +5794,7 @@ babel-jest@^29.7.0:
     graceful-fs "^4.2.9"
     slash "^3.0.0"
 
-babel-loader@^8.0.0:
+babel-loader@^8.0.0, babel-loader@^8.2.3:
   version "8.3.0"
   resolved "https://registry.yarnpkg.com/babel-loader/-/babel-loader-8.3.0.tgz#124936e841ba4fe8176786d6ff28add1f134d6a8"
   integrity sha512-H8SvsMF+m9t15HNLMipppzkC+Y2Yq+v3SonZyU70RBL/h1gxPkH08Ot8pEE9Z4Kd+czyWJClmFS8qzIP9OZ04Q==
@@ -5799,16 +5804,6 @@ babel-loader@^8.0.0:
     make-dir "^3.1.0"
     schema-utils "^2.6.5"
 
-babel-loader@^8.2.3:
-  version "8.2.5"
-  resolved "https://registry.yarnpkg.com/babel-loader/-/babel-loader-8.2.5.tgz#d45f585e654d5a5d90f5350a779d7647c5ed512e"
-  integrity sha512-OSiFfH89LrEMiWd4pLNqGz4CwJDtbs2ZVc+iGu2HrkRfPxId9F2anQj38IxWpmRfsUY0aBZYi1EFcd3mhtRMLQ==
-  dependencies:
-    find-cache-dir "^3.3.1"
-    loader-utils "^2.0.0"
-    make-dir "^3.1.0"
-    schema-utils "^2.6.5"
-
 babel-plugin-add-react-displayname@^0.0.5:
   version "0.0.5"
   resolved "https://registry.yarnpkg.com/babel-plugin-add-react-displayname/-/babel-plugin-add-react-displayname-0.0.5.tgz#339d4cddb7b65fd62d1df9db9fe04de134122bd5"