diff --git a/.gitignore b/.gitignore
index f18a9e1..ae5f796 100644
--- a/.gitignore
+++ b/.gitignore
@@ -108,3 +108,4 @@ gnome-session-2.31.6.tar.bz2
 /gnome-session-3.34.0.tar.xz
 /gnome-session-3.34.1.tar.xz
 /gnome-session-3.34.2.tar.xz
+/gnome-session-3.35.3.tar.xz
diff --git a/0001-binary-Log-a-critical-when-our-SIGTERM-SIGINT-handle.patch b/0001-binary-Log-a-critical-when-our-SIGTERM-SIGINT-handle.patch
deleted file mode 100644
index d1a27cb..0000000
--- a/0001-binary-Log-a-critical-when-our-SIGTERM-SIGINT-handle.patch
+++ /dev/null
@@ -1,36 +0,0 @@
-From 16f3e738f1e831c3af0f2b0718260601298af0ed Mon Sep 17 00:00:00 2001
-From: Iain Lane <iainl@gnome.org>
-Date: Tue, 10 Dec 2019 12:37:31 +0000
-Subject: [PATCH 1/2] binary: Log a critical when our SIGTERM/SIGINT handler
- fails to log out
-
----
- gnome-session/main.c | 7 ++++++-
- 1 file changed, 6 insertions(+), 1 deletion(-)
-
-diff --git a/gnome-session/main.c b/gnome-session/main.c
-index c9488823..152e60ed 100644
---- a/gnome-session/main.c
-+++ b/gnome-session/main.c
-@@ -103,12 +103,17 @@ on_name_lost (GDBusConnection *connection,
- static gboolean
- term_or_int_signal_cb (gpointer data)
- {
-+        g_autoptr(GError) error = NULL;
-         GsmManager *manager = (GsmManager *)data;
- 
-         /* let the fatal signals interrupt us */
-         g_debug ("Caught SIGINT/SIGTERM, shutting down normally.");
- 
--        gsm_manager_logout (manager, GSM_MANAGER_LOGOUT_MODE_FORCE, NULL);
-+        gsm_manager_logout (manager, GSM_MANAGER_LOGOUT_MODE_FORCE, &error);
-+
-+        if (error != NULL) {
-+                g_critical ("Failed to log out: %s", error->message);
-+        }
- 
-         return FALSE;
- }
--- 
-2.23.0
-
diff --git a/0002-binary-Allow-quitting-early-on-SIGTERM-SIGINT.patch b/0002-binary-Allow-quitting-early-on-SIGTERM-SIGINT.patch
deleted file mode 100644
index d048d2a..0000000
--- a/0002-binary-Allow-quitting-early-on-SIGTERM-SIGINT.patch
+++ /dev/null
@@ -1,41 +0,0 @@
-From 04d1eb2d2fdf8341b684ea6430d51ee1534f2e5d Mon Sep 17 00:00:00 2001
-From: Iain Lane <iainl@gnome.org>
-Date: Tue, 10 Dec 2019 13:01:38 +0000
-Subject: [PATCH 2/2] binary: Allow quitting early on SIGTERM/SIGINT
-
-Now we're started by systemd, we also need to handle being *stopped* by
-systemd too. systemd sends us a SIGTERM to ask us to quit, but we refuse
-to exit on SIGTERM if we're not fully running. That's a problem if the
-SIGTERM is sent early in startup. For example, if gnome-shell has exited
-due to Wayland not being supported, and we're trying to fall back to
-Xorg, the session will not be running at this point, but we want to be
-able to kill everything in order to try again with Xorg.
-
-Fix this by looking at the `GError` returned by `gsm_manager_logout()`,
-and directly quitting if we're not in the running phase yet.
----
- gnome-session/main.c | 7 +++++--
- 1 file changed, 5 insertions(+), 2 deletions(-)
-
-diff --git a/gnome-session/main.c b/gnome-session/main.c
-index 152e60ed..01f56667 100644
---- a/gnome-session/main.c
-+++ b/gnome-session/main.c
-@@ -109,9 +109,12 @@ term_or_int_signal_cb (gpointer data)
-         /* let the fatal signals interrupt us */
-         g_debug ("Caught SIGINT/SIGTERM, shutting down normally.");
- 
--        gsm_manager_logout (manager, GSM_MANAGER_LOGOUT_MODE_FORCE, &error);
-+        if (!gsm_manager_logout (manager, GSM_MANAGER_LOGOUT_MODE_FORCE, &error)) {
-+                if (g_error_matches (error, GSM_MANAGER_ERROR, GSM_MANAGER_ERROR_NOT_IN_RUNNING)) {
-+                    gsm_quit ();
-+                    return FALSE;
-+                }
- 
--        if (error != NULL) {
-                 g_critical ("Failed to log out: %s", error->message);
-         }
- 
--- 
-2.23.0
-
diff --git a/gnome-session.spec b/gnome-session.spec
index 3485502..9330543 100644
--- a/gnome-session.spec
+++ b/gnome-session.spec
@@ -8,13 +8,13 @@
 %endif
 
 Name: gnome-session
-Version: 3.34.2
-Release: 3%{?dist}
+Version: 3.35.3
+Release: 1%{?dist}
 Summary: GNOME session manager
 
 License: GPLv2+
 URL: http://www.gnome.org
-Source0: http://download.gnome.org/sources/gnome-session/3.34/%{name}-%{version}.tar.xz
+Source0: http://download.gnome.org/sources/gnome-session/3.35/%{name}-%{version}.tar.xz
 
 # Blacklist NV30: https://bugzilla.redhat.com/show_bug.cgi?id=745202
 Patch1: gnome-session-3.3.92-nv30.patch
@@ -31,11 +31,6 @@ Patch6: 0002-Fedora-Set-grub-boot-flags-on-shutdown-reboot.patch
 Patch10: 0001-data-Add-drop-in-to-configure-launched-applications.patch
 Patch11: 0002-autostart-app-Place-launched-applications-into-a-sys.patch
 
-# Still a few discussions upstream, but this appears sane and reasonably safe
-# https://gitlab.gnome.org/GNOME/gnome-session/merge_requests/35
-Patch20: 0001-binary-Log-a-critical-when-our-SIGTERM-SIGINT-handle.patch
-Patch21: 0002-binary-Allow-quitting-early-on-SIGTERM-SIGINT.patch
-
 BuildRequires: meson
 BuildRequires: gcc
 BuildRequires: pkgconfig(egl)
@@ -140,6 +135,9 @@ Desktop file to add GNOME on wayland to display manager session menu.
 %{_userunitdir}/gnome-launched-.scope.d/override.conf
 
 %changelog
+* Thu Jan 16 2020 Kalev Lember <klember@redhat.com> - 3.35.3-1
+- Update to 3.35.3
+
 * Thu Jan 16 2020 Kalev Lember <klember@redhat.com> - 3.34.2-3
 - Rebuilt for libgnome-desktop soname bump
 
diff --git a/sources b/sources
index 1df5bc5..e85feab 100644
--- a/sources
+++ b/sources
@@ -1 +1 @@
-SHA512 (gnome-session-3.34.2.tar.xz) = 23388420ee117596b73ac057d2376857db726fb727fdeff4e4f420e7742622e81baef439adb04d8659a6979e5b7043c72ea334c1179974950476489a8c397182
+SHA512 (gnome-session-3.35.3.tar.xz) = 6b196df9e62544d5315133c0d2a6040af6bd43fd43b0bc6379a8f640859a1a57bb79885a6c219f4864eef8db9d47ab38d6418f92d5b3e2903095cc61c3cfdb1d