diff --git a/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-EGL-Include-EGL-eglmesaext.h.patch b/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-EGL-Include-EGL-eglmesaext.h.patch
new file mode 100644
index 0000000..b4fd039
--- /dev/null
+++ b/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-EGL-Include-EGL-eglmesaext.h.patch
@@ -0,0 +1,72 @@
+From a444a4c5f58ea516ad3cd9d6ddc0056c3ca9bc90 Mon Sep 17 00:00:00 2001
+From: "Jan Alexander Steffens (heftig)" <jan.steffens@gmail.com>
+Date: Sun, 20 Oct 2019 12:04:31 +0200
+Subject: [PATCH] EGL: Include EGL/eglmesaext.h
+
+The eglext.h shipped by libglvnd does not include the Mesa extensions,
+unlike the header shipped in Mesa.
+
+Fixes https://gitlab.gnome.org/GNOME/mutter/issues/876
+
+Upstream-Status: Applied [1]
+
+[1] https://gitlab.gnome.org/GNOME/mutter/-/commit/a444a4c5f58ea516ad3cd9d6ddc0056c3ca9bc90
+---
+ cogl/cogl/meson.build       | 2 +-
+ src/backends/meta-egl-ext.h | 1 +
+ src/backends/meta-egl.c     | 1 +
+ src/backends/meta-egl.h     | 1 +
+ 4 files changed, 4 insertions(+), 1 deletion(-)
+
+diff --git a/cogl/cogl/meson.build b/cogl/cogl/meson.build
+index 261955796..b0e66bff3 100644
+--- a/cogl/cogl/meson.build
++++ b/cogl/cogl/meson.build
+@@ -48,7 +48,7 @@ cogl_gl_header_h = configure_file(
+ built_headers += [cogl_gl_header_h]
+ 
+ if have_egl
+-  cogl_egl_includes_string = '#include <EGL/egl.h>\n#include <EGL/eglext.h>'
++  cogl_egl_includes_string = '#include <EGL/egl.h>\n#include <EGL/eglext.h>\n#include <EGL/eglmesaext.h>'
+ else
+   cogl_egl_includes_string = ''
+ endif
+diff --git a/src/backends/meta-egl-ext.h b/src/backends/meta-egl-ext.h
+index 8705e7d5b..db0b74f76 100644
+--- a/src/backends/meta-egl-ext.h
++++ b/src/backends/meta-egl-ext.h
+@@ -29,6 +29,7 @@
+ 
+ #include <EGL/egl.h>
+ #include <EGL/eglext.h>
++#include <EGL/eglmesaext.h>
+ 
+ /*
+  * This is a little different to the tests shipped with EGL implementations,
+diff --git a/src/backends/meta-egl.c b/src/backends/meta-egl.c
+index 6554be935..fdeff4f77 100644
+--- a/src/backends/meta-egl.c
++++ b/src/backends/meta-egl.c
+@@ -27,6 +27,7 @@
+ 
+ #include <EGL/egl.h>
+ #include <EGL/eglext.h>
++#include <EGL/eglmesaext.h>
+ #include <gio/gio.h>
+ #include <glib.h>
+ #include <glib-object.h>
+diff --git a/src/backends/meta-egl.h b/src/backends/meta-egl.h
+index f2a816445..4591e7d85 100644
+--- a/src/backends/meta-egl.h
++++ b/src/backends/meta-egl.h
+@@ -28,6 +28,7 @@
+ 
+ #include <EGL/egl.h>
+ #include <EGL/eglext.h>
++#include <EGL/eglmesaext.h>
+ #include <glib-object.h>
+ 
+ #define META_EGL_ERROR meta_egl_error_quark ()
+-- 
+2.21.1
+
diff --git a/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-cogl-Fix-GLES2-fallback.patch b/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-cogl-Fix-GLES2-fallback.patch
deleted file mode 100644
index ec92000..0000000
--- a/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter/0001-cogl-Fix-GLES2-fallback.patch
+++ /dev/null
@@ -1,37 +0,0 @@
-From f4f7e31303d78b2a8a0881b61311b8d750301b8f Mon Sep 17 00:00:00 2001
-From: Adam Jackson <ajax@redhat.com>
-Date: Tue, 29 Oct 2019 11:53:27 -0400
-Subject: [PATCH] cogl: Fix GLES2 fallback
-
-Say you're using intel gen3, you poor soul. Your big-GL maxes out at 1.5
-unless you use dirty tricks, but you do have GLES2. We try to fall back
-to GLES in this case, but we only ever say eglBindAPI(EGL_OPENGL_API).
-So when we go to do CreateContext, even though we think we've requested
-GLES 2.0, the driver will compare that "2.0" against the maximum big-GL
-version, and things will fail.
-
-Fix this by binding EGL_OPENGL_ES_API before trying a GLES context.
-
-https://gitlab.gnome.org/GNOME/mutter/issues/635
-
-Upstream-Status: Applied
----
- cogl/cogl/winsys/cogl-winsys-egl.c | 2 ++
- 1 file changed, 2 insertions(+)
-
-diff --git a/cogl/cogl/winsys/cogl-winsys-egl.c b/cogl/cogl/winsys/cogl-winsys-egl.c
-index 99dcb8bf3..f2b439a67 100644
---- a/cogl/cogl/winsys/cogl-winsys-egl.c
-+++ b/cogl/cogl/winsys/cogl-winsys-egl.c
-@@ -329,6 +329,8 @@ try_create_context (CoglDisplay *display,
-   if (renderer->driver == COGL_DRIVER_GL ||
-       renderer->driver == COGL_DRIVER_GL3)
-     eglBindAPI (EGL_OPENGL_API);
-+  else if (renderer->driver == COGL_DRIVER_GLES2)
-+    eglBindAPI (EGL_OPENGL_ES_API);
- 
-   egl_attributes_from_framebuffer_config (display,
-                                           &display->onscreen_template->config,
--- 
-2.21.0
-
diff --git a/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.3.bb b/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.5.bb
similarity index 92%
rename from meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.3.bb
rename to meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.5.bb
index 9afa269..00b89da 100644
--- a/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.3.bb
+++ b/meta-openembedded/meta-gnome/recipes-gnome/mutter/mutter_3.34.5.bb
@@ -22,9 +22,9 @@
 
 inherit gnomebase gsettings gobject-introspection gettext upstream-version-is-even features_check
 
-SRC_URI[archive.md5sum] = "c3ee46ae7b84d9d0e8dd3f9e04a61ab1"
-SRC_URI[archive.sha256sum] = "cdf57ddd0bc35db952b732b77c796760e65d1ce2f7df31273e5c8d4759ed4a89"
-SRC_URI += "file://0001-cogl-Fix-GLES2-fallback.patch"
+SRC_URI[archive.md5sum] = "4a16dad1d93d5e1f81d555da35faf0e9"
+SRC_URI[archive.sha256sum] = "d1d149b70ed7330771f4524886b98775fce5a11cf17f9683cba151075f2879c4"
+SRC_URI += "file://0001-EGL-Include-EGL-eglmesaext.h.patch"
 
 # x11 is still manadatory - see meson.build
 REQUIRED_DISTRO_FEATURES = "x11"
@@ -52,7 +52,7 @@
 PACKAGECONFIG[opengl] = "-Dopengl=true, -Dopengl=true, virtual/libgl"
 PACKAGECONFIG[glx] = "-Dglx=true, -Dglx=false"
 PACKAGECONFIG[libwacom] = "-Dlibwacom=true, -Dlibwacom=false, libwacom"
-PACKAGECONFIG[remote-desktop] = "-Dremote_desktop=true, -Dremote_desktop=false, pipewire"
+PACKAGECONFIG[remote-desktop] = "-Dremote_desktop=true, -Dremote_desktop=false, pipewire-0.2"
 PACKAGECONFIG[sm] = "-Dsm=true, -Dsm=false, libsm"
 PACKAGECONFIG[profiler] = "-Dprofiler=true,-Dprofiler=false,sysprof"
 PACKAGECONFIG[startup-notification] = "-Dstartup_notification=true, -Dstartup_notification=false, startup-notification, startup-notification"