diff --git a/src/room/InCallView.jsx b/src/room/InCallView.jsx
index 066e296..76fba08 100644
--- a/src/room/InCallView.jsx
+++ b/src/room/InCallView.jsx
@@ -35,6 +35,7 @@ import { useRageshakeRequestModal } from "../settings/submit-rageshake";
 import { RageshakeRequestModal } from "./RageshakeRequestModal";
 import { usePreventScroll } from "@react-aria/overlays";
 import { useMediaHandler } from "../settings/useMediaHandler";
+import { useModalTriggerState } from "../Modal";
 
 const canScreenshare = "getDisplayMedia" in navigator.mediaDevices;
 // There is currently a bug in Safari our our code with cloning and sending MediaStreams
@@ -65,6 +66,9 @@ export function InCallView({
 
   const { audioOutput } = useMediaHandler();
 
+  const { modalState: feedbackModalState, modalProps: feedbackModalProps } =
+    useModalTriggerState();
+
   const items = useMemo(() => {
     const participants = [];
 
@@ -196,6 +200,9 @@ export function InCallView({
           showInspector={showInspector}
           client={client}
           groupCall={groupCall}
+          showInvite={true}
+          feedbackModalState={feedbackModalState}
+          feedbackModalProps={feedbackModalProps}
         />
         <HangupButton onPress={onLeave} />
       </div>
diff --git a/src/room/OverflowMenu.jsx b/src/room/OverflowMenu.jsx
index 3f92975..281995c 100644
--- a/src/room/OverflowMenu.jsx
+++ b/src/room/OverflowMenu.jsx
@@ -35,13 +35,14 @@ export function OverflowMenu({
   showInspector,
   inCall,
   groupCall,
+  showInvite,
+  feedbackModalState,
+  feedbackModalProps,
 }) {
   const { modalState: inviteModalState, modalProps: inviteModalProps } =
     useModalTriggerState();
   const { modalState: settingsModalState, modalProps: settingsModalProps } =
     useModalTriggerState();
-  const { modalState: feedbackModalState, modalProps: feedbackModalProps } =
-    useModalTriggerState();
 
   // TODO: On closing modal, focus should be restored to the trigger button
   // https://github.com/adobe/react-spectrum/issues/2444
@@ -70,10 +71,12 @@ export function OverflowMenu({
         </TooltipTrigger>
         {(props) => (
           <Menu {...props} label="More menu" onAction={onAction}>
-            <Item key="invite" textValue="Invite people">
-              <AddUserIcon />
-              <span>Invite people</span>
-            </Item>
+            {showInvite && (
+              <Item key="invite" textValue="Invite people">
+                <AddUserIcon />
+                <span>Invite people</span>
+              </Item>
+            )}
             <Item key="settings" textValue="Settings">
               <SettingsIcon />
               <span>Settings</span>
diff --git a/src/room/PTTCallView.tsx b/src/room/PTTCallView.tsx
index 3e699bd..9087a26 100644
--- a/src/room/PTTCallView.tsx
+++ b/src/room/PTTCallView.tsx
@@ -21,9 +21,8 @@ import { GroupCall, MatrixClient, RoomMember } from "matrix-js-sdk";
 import { CallFeed } from "matrix-js-sdk/src/webrtc/callFeed";
 
 import { useModalTriggerState } from "../Modal";
-import { SettingsModal } from "../settings/SettingsModal";
 import { InviteModal } from "./InviteModal";
-import { HangupButton, InviteButton, SettingsButton } from "../button";
+import { HangupButton, InviteButton } from "../button";
 import { Header, LeftNav, RightNav, RoomSetupHeaderInfo } from "../Header";
 import styles from "./PTTCallView.module.css";
 import { Facepile } from "../Facepile";
@@ -37,6 +36,8 @@ import { getAvatarUrl } from "../matrix-utils";
 import { ReactComponent as AudioIcon } from "../icons/Audio.svg";
 import { usePTTSounds } from "../sound/usePttSounds";
 import { PTTClips } from "../sound/PTTClips";
+import { GroupCallInspector } from "./GroupCallInspector";
+import { OverflowMenu } from "./OverflowMenu";
 
 function getPromptText(
   showTalkOverError: boolean,
@@ -100,7 +101,7 @@ export const PTTCallView: React.FC<Props> = ({
 }) => {
   const { modalState: inviteModalState, modalProps: inviteModalProps } =
     useModalTriggerState();
-  const { modalState: settingsModalState, modalProps: settingsModalProps } =
+  const { modalState: feedbackModalState, modalProps: feedbackModalProps } =
     useModalTriggerState();
   const [containerRef, bounds] = useMeasure({ polyfill: ResizeObserver });
   const facepileSize = bounds.width < 800 ? "sm" : "md";
@@ -126,7 +127,13 @@ export const PTTCallView: React.FC<Props> = ({
     startTalking,
     stopTalking,
     transmitBlocked,
-  } = usePTT(client, groupCall, userMediaFeeds, playClip);
+  } = usePTT(
+    client,
+    groupCall,
+    userMediaFeeds,
+    playClip,
+    !feedbackModalState.isOpen
+  );
 
   const showTalkOverError = pttButtonHeld && transmitBlocked;
 
@@ -154,6 +161,13 @@ export const PTTCallView: React.FC<Props> = ({
         endTalkingRef={endTalkingRef}
         blockedRef={blockedRef}
       />
+      <GroupCallInspector
+        client={client}
+        groupCall={groupCall}
+        // Never shown in PTT mode, but must be present to collect call state
+        // https://github.com/vector-im/element-call/issues/328
+        show={false}
+      />
       <Header className={styles.header}>
         <LeftNav>
           <RoomSetupHeaderInfo roomName={roomName} onPress={onLeave} />
@@ -174,7 +188,17 @@ export const PTTCallView: React.FC<Props> = ({
           />
         </div>
         <div className={styles.footer}>
-          <SettingsButton onPress={() => settingsModalState.open()} />
+          <OverflowMenu
+            inCall
+            roomId={roomId}
+            setShowInspector={setShowInspector}
+            showInspector={showInspector}
+            client={client}
+            groupCall={groupCall}
+            showInvite={false}
+            feedbackModalState={feedbackModalState}
+            feedbackModalProps={feedbackModalProps}
+          />
           <HangupButton onPress={onLeave} />
           <InviteButton onPress={() => inviteModalState.open()} />
         </div>
@@ -233,13 +257,6 @@ export const PTTCallView: React.FC<Props> = ({
         </div>
       </div>
 
-      {settingsModalState.isOpen && (
-        <SettingsModal
-          {...settingsModalProps}
-          setShowInspector={setShowInspector}
-          showInspector={showInspector}
-        />
-      )}
       {inviteModalState.isOpen && (
         <InviteModal roomId={roomId} {...inviteModalProps} />
       )}
diff --git a/src/room/VideoPreview.jsx b/src/room/VideoPreview.jsx
index a68a4f4..32ea29b 100644
--- a/src/room/VideoPreview.jsx
+++ b/src/room/VideoPreview.jsx
@@ -25,6 +25,7 @@ import { ResizeObserver } from "@juggle/resize-observer";
 import { GroupCallState } from "matrix-js-sdk/src/webrtc/groupCall";
 import styles from "./VideoPreview.module.css";
 import { Body } from "../typography/Typography";
+import { useModalTriggerState } from "../Modal";
 
 export function VideoPreview({
   client,
@@ -44,6 +45,9 @@ export function VideoPreview({
   const [previewRef, previewBounds] = useMeasure({ polyfill: ResizeObserver });
   const avatarSize = (previewBounds.height - 66) / 2;
 
+  const { modalState: feedbackModalState, modalProps: feedbackModalProps } =
+    useModalTriggerState();
+
   return (
     <div className={styles.preview} ref={previewRef}>
       <video ref={videoRef} muted playsInline disablePictureInPicture />
@@ -87,6 +91,8 @@ export function VideoPreview({
               setShowInspector={setShowInspector}
               showInspector={showInspector}
               client={client}
+              feedbackModalState={feedbackModalState}
+              feedbackModalProps={feedbackModalProps}
             />
           </div>
         </>
diff --git a/src/room/usePTT.ts b/src/room/usePTT.ts
index 673da76..5965c54 100644
--- a/src/room/usePTT.ts
+++ b/src/room/usePTT.ts
@@ -58,7 +58,8 @@ export const usePTT = (
   client: MatrixClient,
   groupCall: GroupCall,
   userMediaFeeds: CallFeed[],
-  playClip: PlayClipFunction
+  playClip: PlayClipFunction,
+  enablePTTButton: boolean
 ): PTTState => {
   // Used to serialise all the mute calls so they don't race. It has
   // its own state as its always set separately from anything else.
@@ -213,6 +214,8 @@ export const usePTT = (
   useEffect(() => {
     function onKeyDown(event: KeyboardEvent): void {
       if (event.code === "Space") {
+        if (!enablePTTButton) return;
+
         event.preventDefault();
 
         if (pttButtonHeld) return;
@@ -255,6 +258,7 @@ export const usePTT = (
     isAdmin,
     talkOverEnabled,
     pttButtonHeld,
+    enablePTTButton,
     setMicMuteWrapper,
   ]);