diff --git a/firefox-wayland.desktop b/firefox-wayland.desktop
index ad375b0..12669c5 100644
--- a/firefox-wayland.desktop
+++ b/firefox-wayland.desktop
@@ -3,7 +3,7 @@ Version=1.0
 Name=Firefox on Wayland
 GenericName=Web Browser
 Comment=Browse the Web
-Exec=firefox-wayland %u
+Exec=firefox-wayland --name firefox-wayland %u
 Icon=firefox
 Terminal=false
 Type=Application
@@ -119,9 +119,7 @@ Name[wo]=Palanteer bu bees
 Name[xh]=Ifestile entsha
 Name[zh-CN]=新建窗口
 Name[zh-TW]=開新視窗
-
-
-Exec=firefox-wayland %u
+Exec=firefox-wayland --name firefox-wayland --new-window %u
 
 [Desktop Action new-private-window]
 Name=Open a New Private Window
@@ -229,5 +227,5 @@ Name[wo]=Panlanteeru biir bu bees
 Name[xh]=Ifestile yangasese entsha
 Name[zh-CN]=新建隐私浏览窗口
 Name[zh-TW]=新增隱私視窗
-Exec=firefox-wayland --private-window %u
+Exec=firefox-wayland --private-window --name firefox-wayland %u
 
diff --git a/firefox.desktop b/firefox.desktop
index f13e600..89fa082 100644
--- a/firefox.desktop
+++ b/firefox.desktop
@@ -160,7 +160,7 @@ Name[zh-CN]=新建窗口
 Name[zh-TW]=開新視窗
 
 
-Exec=firefox %u
+Exec=firefox --new-window %u
 
 [Desktop Action new-private-window]
 Name=Open a New Private Window
diff --git a/firefox.spec b/firefox.spec
index 7303673..f3291f3 100644
--- a/firefox.spec
+++ b/firefox.spec
@@ -102,7 +102,7 @@
 Summary:        Mozilla Firefox Web browser
 Name:           firefox
 Version:        60.0.1
-Release:        5%{?pre_tag}%{?dist}
+Release:        6%{?pre_tag}%{?dist}
 URL:            https://www.mozilla.org/firefox/
 License:        MPLv1.1 or GPLv2+ or LGPLv2+
 Source0:        https://hg.mozilla.org/releases/mozilla-release/archive/firefox-%{version}%{?pre_version}.source.tar.xz
@@ -181,6 +181,7 @@ Patch562:        rb246410.patch
 Patch563:        rb245262.patch
 Patch564:        mozilla-1464808.patch
 Patch565:        mozilla-1464823.patch
+Patch566:        mozilla-1466473.patch
 
 # Debian patches
 Patch500:        mozilla-440908.patch
@@ -378,6 +379,7 @@ This package contains results of tests executed during build.
 %patch563 -p1 -b .rb245262
 %patch564 -p1 -b .mozilla-1464808
 %patch565 -p1 -b .mozilla-1464823
+%patch566 -p1 -b .mozilla-1466473
 %endif
 
 %{__rm} -f .mozconfig
@@ -914,6 +916,10 @@ gtk-update-icon-cache %{_datadir}/icons/hicolor &>/dev/null || :
 #---------------------------------------------------------------------
 
 %changelog
+* Mon Jun 4 2018 Martin Stransky <stransky@redhat.com> - 60.0.1-6
+- Fixed mozbz#1466473, rhbz#1585300 - Fix GL detection.
+- Fixed desktop file names (rhbz#1585369).
+
 * Wed May 30 2018 Martin Stransky <stransky@redhat.com> - 60.0.1-5
 - Added workaround for mozbz#1464823 which makes GL layer
   compositor usable on Wayland.
diff --git a/mozilla-1466473.patch b/mozilla-1466473.patch
new file mode 100644
index 0000000..5ee521d
--- /dev/null
+++ b/mozilla-1466473.patch
@@ -0,0 +1,42 @@
+diff --git a/toolkit/xre/moz.build b/toolkit/xre/moz.build
+--- a/toolkit/xre/moz.build
++++ b/toolkit/xre/moz.build
+@@ -116,17 +116,17 @@ UNIFIED_SOURCES += [
+ # they pull in OS X system headers.
+ # nsEmbedFunctions.cpp cannot be built in unified mode because it pulls in X11 headers.
+ SOURCES += [
+     'nsAppRunner.cpp',
+     'nsEmbedFunctions.cpp',
+     'ProfileReset.cpp',
+ ]
+ 
+-if CONFIG['MOZ_GL_DEFAULT_PROVIDER'] == 'GLX':
++if CONFIG['MOZ_X11']:
+     UNIFIED_SOURCES += [
+         'glxtest.cpp',
+     ]
+ 
+ if CONFIG['MOZ_INSTRUMENT_EVENT_LOOP']:
+     UNIFIED_SOURCES += [
+         'EventTracer.cpp',
+     ]
+@@ -142,17 +142,17 @@ if CONFIG['MOZ_PDF_PRINTING']:
+     LOCAL_INCLUDES += [
+         '../components/printingui',
+     ]
+ 
+ include('/ipc/chromium/chromium-config.mozbuild')
+ 
+ FINAL_LIBRARY = 'xul'
+ 
+-if CONFIG['MOZ_GL_DEFAULT_PROVIDER'] == 'GLX':
++if CONFIG['MOZ_X11']:
+     DEFINES['USE_GLX_TEST'] = True
+ 
+ for var in ('MOZ_APP_NAME', 'MOZ_APP_BASENAME', 'MOZ_APP_DISPLAYNAME',
+             'MOZ_APP_VERSION', 'OS_TARGET', 'MOZ_WIDGET_TOOLKIT'):
+     DEFINES[var] = '"%s"' % CONFIG[var]
+ 
+ if CONFIG['MOZ_UPDATER'] and CONFIG['MOZ_WIDGET_TOOLKIT'] != 'android':
+     DEFINES['MOZ_UPDATER'] = True
+