diff --git a/src/components/views/voip/CallView/CallViewButtons.tsx b/src/components/views/voip/CallView/CallViewButtons.tsx
new file mode 100644
index 0000000000..8c48bd767d
--- /dev/null
+++ b/src/components/views/voip/CallView/CallViewButtons.tsx
@@ -0,0 +1,315 @@
+/*
+Copyright 2015, 2016 OpenMarket Ltd
+Copyright 2019 - 2021 The Matrix.org Foundation C.I.C.
+Copyright 2021 Šimon Brandner <simon.bra.ag@gmail.com>
+
+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 React, { createRef } from "react";
+import classNames from "classnames";
+import AccessibleTooltipButton from "../../elements/AccessibleTooltipButton";
+import CallContextMenu from "../../context_menus/CallContextMenu";
+import DialpadContextMenu from "../../context_menus/DialpadContextMenu";
+import AccessibleButton from "../../elements/AccessibleButton";
+import { MatrixCall } from "matrix-js-sdk/src/webrtc/call";
+import { Alignment } from "../../elements/Tooltip";
+import {
+    alwaysAboveLeftOf,
+    alwaysAboveRightOf,
+    ChevronFace,
+    ContextMenuTooltipButton,
+} from '../../../structures/ContextMenu';
+import { _t } from "../../../../languageHandler";
+
+// Height of the header duplicated from CSS because we need to subtract it from our max
+// height to get the max height of the video
+const CONTEXT_MENU_VPADDING = 8; // How far the context menu sits above the button (px)
+
+const TOOLTIP_Y_OFFSET = -24;
+
+const CONTROLS_HIDE_DELAY = 2000;
+
+interface IProps {
+    call: MatrixCall;
+    pipMode: boolean;
+    handlers: {
+        onHangupClick: () => void;
+        onScreenshareClick: () => void;
+        onToggleSidebarClick: () => void;
+        onMicMuteClick: () => void;
+        onVidMuteClick: () => void;
+    };
+    buttonsState: {
+        micMuted: boolean;
+        vidMuted: boolean;
+        sidebarShown: boolean;
+        screensharing: boolean;
+    };
+    buttonsVisibility: {
+        screensharing: boolean;
+        vidMute: boolean;
+        sidebar: boolean;
+        dialpad: boolean;
+        contextMenu: boolean;
+    };
+}
+
+interface IState {
+    visible: boolean;
+    showDialpad: boolean;
+    hoveringControls: boolean;
+    showMoreMenu: boolean;
+}
+
+export default class CallViewButtons extends React.Component<IProps, IState> {
+    private dialpadButton = createRef<HTMLDivElement>();
+    private contextMenuButton = createRef<HTMLDivElement>();
+    private controlsHideTimer: number = null;
+
+    constructor(props: IProps) {
+        super(props);
+
+        this.state = {
+            showDialpad: false,
+            hoveringControls: false,
+            showMoreMenu: false,
+            visible: true,
+        };
+    }
+
+    public componentDidMount(): void {
+        this.showControls();
+    }
+
+    public showControls(): void {
+        if (this.state.showMoreMenu || this.state.showDialpad) return;
+
+        if (!this.state.visible) {
+            this.setState({
+                visible: true,
+            });
+        }
+        if (this.controlsHideTimer !== null) {
+            clearTimeout(this.controlsHideTimer);
+        }
+        this.controlsHideTimer = window.setTimeout(this.onControlsHideTimer, CONTROLS_HIDE_DELAY);
+    }
+
+    private onControlsHideTimer = (): void => {
+        if (this.state.hoveringControls || this.state.showDialpad || this.state.showMoreMenu) return;
+        this.controlsHideTimer = null;
+        this.setState({ visible: false });
+    };
+
+    private onMouseEnter = (): void => {
+        this.setState({ hoveringControls: true });
+    };
+
+    private onMouseLeave = (): void => {
+        this.setState({ hoveringControls: false });
+    };
+
+    private onDialpadClick = (): void => {
+        if (!this.state.showDialpad) {
+            this.setState({ showDialpad: true });
+            this.showControls();
+        } else {
+            this.setState({ showDialpad: false });
+        }
+    };
+
+    private onMoreClick = (): void => {
+        this.setState({ showMoreMenu: true });
+        this.showControls();
+    };
+
+    private closeDialpad = (): void => {
+        this.setState({ showDialpad: false });
+    };
+
+    private closeContextMenu = (): void => {
+        this.setState({ showMoreMenu: false });
+    };
+
+    public render(): JSX.Element {
+        const micClasses = classNames("mx_CallViewButtons_button", {
+            mx_CallViewButtons_button_micOn: !this.props.buttonsState.micMuted,
+            mx_CallViewButtons_button_micOff: this.props.buttonsState.micMuted,
+        });
+
+        const vidClasses = classNames("mx_CallViewButtons_button", {
+            mx_CallViewButtons_button_vidOn: !this.props.buttonsState.vidMuted,
+            mx_CallViewButtons_button_vidOff: this.props.buttonsState.vidMuted,
+        });
+
+        const screensharingClasses = classNames("mx_CallViewButtons_button", {
+            mx_CallViewButtons_button_screensharingOn: this.props.buttonsState.screensharing,
+            mx_CallViewButtons_button_screensharingOff: !this.props.buttonsState.screensharing,
+        });
+
+        const sidebarButtonClasses = classNames("mx_CallViewButtons_button", {
+            mx_CallViewButtons_button_sidebarOn: this.props.buttonsState.sidebarShown,
+            mx_CallViewButtons_button_sidebarOff: !this.props.buttonsState.sidebarShown,
+        });
+
+        // Put the other states of the mic/video icons in the document to make sure they're cached
+        // (otherwise the icon disappears briefly when toggled)
+        const micCacheClasses = classNames("mx_CallViewButtons_button", "mx_CallViewButtons_button_invisible", {
+            mx_CallViewButtons_button_micOn: this.props.buttonsState.micMuted,
+            mx_CallViewButtons_button_micOff: !this.props.buttonsState.micMuted,
+        });
+
+        const vidCacheClasses = classNames("mx_CallViewButtons_button", "mx_CallViewButtons_button_invisible", {
+            mx_CallViewButtons_button_vidOn: this.props.buttonsState.micMuted,
+            mx_CallViewButtons_button_vidOff: !this.props.buttonsState.micMuted,
+        });
+
+        const callControlsClasses = classNames("mx_CallViewButtons", {
+            mx_CallViewButtons_hidden: !this.state.visible,
+        });
+
+        let vidMuteButton;
+        if (this.props.buttonsVisibility.vidMute) {
+            vidMuteButton = (
+                <AccessibleTooltipButton
+                    className={vidClasses}
+                    onClick={this.props.handlers.onVidMuteClick}
+                    title={this.props.buttonsState.vidMuted ? _t("Start the camera") : _t("Stop the camera")}
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+            );
+        }
+
+        let screensharingButton;
+        if (this.props.buttonsVisibility.screensharing) {
+            screensharingButton = (
+                <AccessibleTooltipButton
+                    className={screensharingClasses}
+                    onClick={this.props.handlers.onScreenshareClick}
+                    title={this.props.buttonsState.screensharing
+                        ? _t("Stop sharing your screen")
+                        : _t("Start sharing your screen")
+                    }
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+            );
+        }
+
+        let sidebarButton;
+        if (this.props.buttonsVisibility.sidebar) {
+            sidebarButton = (
+                <AccessibleButton
+                    className={sidebarButtonClasses}
+                    onClick={this.props.handlers.onToggleSidebarClick}
+                    aria-label={this.props.buttonsState.sidebarShown ? _t("Hide sidebar") : _t("Show sidebar")}
+                />
+            );
+        }
+
+        let contextMenuButton;
+        if (this.props.buttonsVisibility.contextMenu) {
+            contextMenuButton = (
+                <ContextMenuTooltipButton
+                    className="mx_CallViewButtons_button mx_CallViewButtons_button_more"
+                    onClick={this.onMoreClick}
+                    inputRef={this.contextMenuButton}
+                    isExpanded={this.state.showMoreMenu}
+                    title={_t("More")}
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+            );
+        }
+        let dialpadButton;
+        if (this.props.buttonsVisibility.dialpad) {
+            dialpadButton = (
+                <ContextMenuTooltipButton
+                    className="mx_CallViewButtons_button mx_CallViewButtons_dialpad"
+                    inputRef={this.dialpadButton}
+                    onClick={this.onDialpadClick}
+                    isExpanded={this.state.showDialpad}
+                    title={_t("Dialpad")}
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+            );
+        }
+
+        let dialPad;
+        if (this.state.showDialpad) {
+            dialPad = <DialpadContextMenu
+                {...alwaysAboveRightOf(
+                    this.dialpadButton.current.getBoundingClientRect(),
+                    ChevronFace.None,
+                    CONTEXT_MENU_VPADDING,
+                )}
+                // We mount the context menus as a as a child typically in order to include the
+                // context menus when fullscreening the call content.
+                // However, this does not work as well when the call is embedded in a
+                // picture-in-picture frame. Thus, only mount as child when we are *not* in PiP.
+                mountAsChild={!this.props.pipMode}
+                onFinished={this.closeDialpad}
+                call={this.props.call}
+            />;
+        }
+
+        let contextMenu;
+        if (this.state.showMoreMenu) {
+            contextMenu = <CallContextMenu
+                {...alwaysAboveLeftOf(
+                    this.contextMenuButton.current.getBoundingClientRect(),
+                    ChevronFace.None,
+                    CONTEXT_MENU_VPADDING,
+                )}
+                mountAsChild={!this.props.pipMode}
+                onFinished={this.closeContextMenu}
+                call={this.props.call}
+            />;
+        }
+
+        return (
+            <div
+                className={callControlsClasses}
+                onMouseEnter={this.onMouseEnter}
+                onMouseLeave={this.onMouseLeave}
+            >
+                { dialPad }
+                { contextMenu }
+                { dialpadButton }
+                <AccessibleTooltipButton
+                    className={micClasses}
+                    onClick={this.props.handlers.onMicMuteClick}
+                    title={this.props.buttonsState.micMuted ? _t("Unmute the microphone") : _t("Mute the microphone")}
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+                { vidMuteButton }
+                <div className={micCacheClasses} />
+                <div className={vidCacheClasses} />
+                { screensharingButton }
+                { sidebarButton }
+                { contextMenuButton }
+                <AccessibleTooltipButton
+                    className="mx_CallViewButtons_button mx_CallViewButtons_button_hangup"
+                    onClick={this.props.handlers.onHangupClick}
+                    title={_t("Hangup")}
+                    alignment={Alignment.Top}
+                    yOffset={TOOLTIP_Y_OFFSET}
+                />
+            </div>
+        );
+    }
+}