diff --git a/addons/mail/i18n/mail.pot b/addons/mail/i18n/mail.pot
index 48f154e8068..8065f167c37 100644
--- a/addons/mail/i18n/mail.pot
+++ b/addons/mail/i18n/mail.pot
@@ -2800,6 +2800,14 @@ msgstr ""
 msgid "Discussions"
 msgstr ""
 
+#. module: mail
+#. odoo-javascript
+#: code:addons/mail/static/src/core/web/messaging_menu.xml:0
+#, python-format
+msgid "Dismiss"
+msgstr ""
+
+
 #. module: mail
 #: model:ir.model.fields,field_description:mail.field_discuss_channel__display_name
 #: model:ir.model.fields,field_description:mail.field_discuss_channel_member__display_name
diff --git a/addons/mail/static/src/core/web/messaging_menu.xml b/addons/mail/static/src/core/web/messaging_menu.xml
index 0ea22574f0e..43785e157c2 100644
--- a/addons/mail/static/src/core/web/messaging_menu.xml
+++ b/addons/mail/static/src/core/web/messaging_menu.xml
@@ -33,15 +33,17 @@
                     displayName="installationRequest.displayName"
                     iconSrc="installationRequest.iconSrc"
                     onClick="installationRequest.onClick"
+                    onSwipeRight="hasTouch() ? { action: () => this.installPrompt.decline(), icon: 'fa-times-circle', bgColor: 'bg-warning' } : undefined"
                 >
                     <t t-set-slot="icon">
                         <ImStatus persona="installationRequest.partner" className="'position-absolute top-100 start-100 translate-middle mt-n1 ms-n1'"/>
                     </t>
                     <t t-set-slot="requestContent">
                         <a t-if="ui.isSmall" class="btn fa fa-cloud-download" />
-                        <a t-else="" class="btn btn-primary">
-                            Install
-                        </a>
+                        <t t-else="">
+                            <a class="btn btn-primary">Install</a>
+                            <span t-if="!hasTouch()" t-on-click.stop="() => this.installPrompt.decline()" class="text-dark bg-transparent fa fa-close opacity-50 opacity-100-hover" title="Dismiss"></span>
+                        </t>
                     </t>
                 </NotificationItem>
             </t>
diff --git a/addons/mail/static/tests/messaging_menu/messaging_menu_tests.js b/addons/mail/static/tests/messaging_menu/messaging_menu_tests.js
index fc6c3c6972a..84b9b1d975c 100644
--- a/addons/mail/static/tests/messaging_menu/messaging_menu_tests.js
+++ b/addons/mail/static/tests/messaging_menu/messaging_menu_tests.js
@@ -146,6 +146,9 @@ QUnit.test("rendering with PWA installation request", async (assert) => {
     });
 
     const { env } = await start();
+    // This event must be triggered to initialize the installPrompt service properly
+    // as if it was run by a browser supporting PWA (never triggered in a test otherwise).
+    browser.dispatchEvent(new CustomEvent("beforeinstallprompt"));
     patchWithCleanup(env.services.installPrompt, {
         show() {
             assert.step("show prompt");
@@ -157,10 +160,9 @@ QUnit.test("rendering with PWA installation request", async (assert) => {
     await contains(".o-mail-MessagingMenu-counter", { text: "1" });
     await click(".o_menu_systray i[aria-label='Messages']");
     await contains(".o-mail-NotificationItem");
-    assert.ok(
-        target
-            .querySelector(".o-mail-NotificationItem img")
-            .dataset.src.includes("/web/image?field=avatar_128&id=2&model=res.partner")
+    assert.containsOnce(
+        target,
+        ".o-mail-NotificationItem img[data-src*='/web/image?field=avatar_128&id=2&model=res.partner']"
     );
     assert.strictEqual(
         target.querySelector(".o-mail-NotificationItem-name").textContent,
@@ -175,6 +177,46 @@ QUnit.test("rendering with PWA installation request", async (assert) => {
     assert.verifySteps(["show prompt"]);
 });
 
+QUnit.test("installation of the PWA request can be dismissed", async (assert) => {
+    patchWithCleanup(browser, {
+        BeforeInstallPromptEvent: () => {},
+    });
+    patchWithCleanup(browser.localStorage, {
+        getItem(key) {
+            if (key === "pwa.installationState") {
+                assert.step("getItem " + key);
+                // in this test, installation has not yet proceeded
+                return null;
+            }
+            return super.getItem(key);
+        },
+        setItem(key, value) {
+            if (key === "pwa.installationState") {
+                assert.step("installationState value:  " + value);
+            }
+            return super.setItem(key, value);
+        },
+    });
+
+    const { env } = await start();
+    // This event must be triggered to initialize the installPrompt service properly
+    // as if it was run by a browser supporting PWA (never triggered in a test otherwise).
+    browser.dispatchEvent(new CustomEvent("beforeinstallprompt"));
+    patchWithCleanup(env.services.installPrompt, {
+        show() {
+            assert.step("show prompt should not be triggered");
+        },
+    });
+    assert.verifySteps(["getItem pwa.installationState"]);
+
+    await click(".o_menu_systray i[aria-label='Messages']");
+    await click(".o-mail-NotificationItem .fa-close");
+    assert.verifySteps(["installationState value:  dismissed"]);
+
+    await click(".o_menu_systray i[aria-label='Messages']");
+    await contains(".o-mail-NotificationItem", { count: 0 });
+});
+
 QUnit.test("rendering with PWA installation request (dismissed)", async (assert) => {
     const target = getFixture();
 
@@ -193,6 +235,9 @@ QUnit.test("rendering with PWA installation request (dismissed)", async (assert)
     });
 
     await start();
+    // This event must be triggered to initialize the installPrompt service properly
+    // as if it was run by a browser supporting PWA (never triggered in a test otherwise).
+    browser.dispatchEvent(new CustomEvent("beforeinstallprompt"));
     assert.verifySteps(["getItem pwa.installationState"]);
     assert.containsNone(target, ".o-mail-MessagingMenu-counter");
 
@@ -205,12 +250,6 @@ QUnit.test("rendering with PWA installation request (already running as PWA)", a
 
     patchWithCleanup(browser, {
         BeforeInstallPromptEvent: () => {},
-        matchMedia(media) {
-            if (media === "(display-mode: standalone)") {
-                return { matches: true };
-            }
-            return super.matchMedia(media);
-        },
     });
     patchWithCleanup(browser.localStorage, {
         getItem(key) {
@@ -224,6 +263,8 @@ QUnit.test("rendering with PWA installation request (already running as PWA)", a
     });
 
     await start();
+    // The 'beforeinstallprompt' event is not triggered here, since the
+    // browser wouldn't trigger it when the app is already launched
     assert.verifySteps(["getItem pwa.installationState"]);
     assert.containsNone(target, ".o-mail-MessagingMenu-counter");
 
diff --git a/addons/web/static/src/core/browser/browser.js b/addons/web/static/src/core/browser/browser.js
index 1d5ed6bd621..c7729b61504 100644
--- a/addons/web/static/src/core/browser/browser.js
+++ b/addons/web/static/src/core/browser/browser.js
@@ -22,6 +22,7 @@ try {
 
 export const browser = {
     addEventListener: window.addEventListener.bind(window),
+    dispatchEvent: window.dispatchEvent.bind(window),
     AnalyserNode: window.AnalyserNode,
     Audio: window.Audio,
     AudioBufferSourceNode: window.AudioBufferSourceNode,
diff --git a/addons/web/static/src/core/install_prompt/install_prompt_service.js b/addons/web/static/src/core/install_prompt/install_prompt_service.js
index af5de4a4b29..b74f052cc89 100644
--- a/addons/web/static/src/core/install_prompt/install_prompt_service.js
+++ b/addons/web/static/src/core/install_prompt/install_prompt_service.js
@@ -26,33 +26,35 @@ const installPromptService = {
 
         // The PWA can only be installed if the app is not already launched (display-mode standalone)
         // For Apple devices, PWA are supported on any mobile version of Safari, or in desktop since version 17
+        // On Safari devices, the check is also done on the display-mode and we rely on the installationState to
+        // decide whether we must show the prompt or not
         const canBeInstalled =
-            !isDisplayStandalone() &&
-            (browser.BeforeInstallPromptEvent !== undefined ||
-                (isBrowserSafari() &&
-                    (isIOS() ||
-                        (isMacOS() &&
-                            browser.navigator.userAgent.match(/Version\/(\d+)/)[1] >= 17))));
+            browser.BeforeInstallPromptEvent !== undefined ||
+            (isBrowserSafari() &&
+                !isDisplayStandalone() &&
+                (isIOS() ||
+                    (isMacOS() && browser.navigator.userAgent.match(/Version\/(\d+)/)[1] >= 17)));
 
         const installationState = browser.localStorage.getItem("pwa.installationState");
-
-        // It is possible that the browser still has the installationState stored in the localstorage once
-        // the app has been uninstalled. This is why we don't use installationState directly in canBeInstalled
-        state.canPromptToInstall = canBeInstalled && !installationState;
-
         const isDeclined = installationState === "dismissed";
 
         if (canBeInstalled && !isDeclined) {
             browser.addEventListener("beforeinstallprompt", (ev) => {
+                // This event is only triggered by the browser when the native prompt to install can be shown
+                // This excludes incognito tabs, as well as visiting the website while the app is installed
+                ev.preventDefault();
+                nativePrompt = ev;
                 if (installationState === "accepted") {
                     // If this event is triggered with the installationState stored, it means that the app has been
                     // removed since its installation. The prompt can be displayed, and the installation state is reset.
-                    state.canPromptToInstall = true;
                     browser.localStorage.removeItem("pwa.installationState");
                 }
-                ev.preventDefault();
-                nativePrompt = ev;
+                state.canPromptToInstall = true;
             });
+            if (isBrowserSafari()) {
+                // since those platforms don't rely on the beforeinstallprompt event, we handle it ourselves
+                state.canPromptToInstall = installationState !== "accepted";
+            }
         }
 
         async function show() {