diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 765a18d6..6761c459 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -14,7 +14,7 @@
 # repository's registry will be used there as well.
 variables:
   UPSTREAM_REPO: mesa/drm
-  DEBIAN_TAG: "2019-10-20"
+  DEBIAN_TAG: "2019-11-12"
   DEBIAN_VERSION: buster-slim
   DEBIAN_IMAGE: "$CI_REGISTRY_IMAGE/debian/$DEBIAN_VERSION:$DEBIAN_TAG"
 
@@ -71,9 +71,10 @@ debian:
         -D radeon=true
         -D tegra=true
         -D udev=true
-        -D valgrind=true
+        -D valgrind=auto
         -D vc4=true
         -D vmwgfx=true
+        ${CROSS+--cross /cross_file-$CROSS.txt}
     - ninja -C _build
     - ninja -C _build test
     - DESTDIR=$PWD/install ninja -C _build install
diff --git a/.gitlab-ci/debian-install.sh b/.gitlab-ci/debian-install.sh
index 05b63a15..6b779e64 100644
--- a/.gitlab-ci/debian-install.sh
+++ b/.gitlab-ci/debian-install.sh
@@ -4,6 +4,11 @@ set -o xtrace
 
 export DEBIAN_FRONTEND=noninteractive
 
+CROSS_ARCHITECTURES=(i386 armhf arm64)
+for arch in ${CROSS_ARCHITECTURES[@]}; do
+  dpkg --add-architecture $arch
+done
+
 apt-get install -y \
   ca-certificates
 
@@ -29,6 +34,7 @@ apt-get install -y --no-remove \
   libcunit1-dev \
   libpciaccess-dev \
   libxslt1-dev \
+  meson \
   ninja-build \
   pkg-config \
   python3 \
@@ -38,6 +44,24 @@ apt-get install -y --no-remove \
   valgrind \
   xsltproc
 
+for arch in ${CROSS_ARCHITECTURES[@]}; do
+  cross_file=/cross_file-$arch.txt
+
+  # Cross-build libdrm deps
+  apt-get install -y --no-remove \
+    libcairo2-dev:$arch \
+    libpciaccess-dev:$arch \
+    crossbuild-essential-$arch
+
+  # Generate cross build files for Meson
+  /usr/share/meson/debcrossgen --arch $arch -o $cross_file
+
+  # Work around a bug in debcrossgen that should be fixed in the next release
+  if [ $arch = i386 ]; then
+    sed -i "s|cpu_family = 'i686'|cpu_family = 'x86'|g" $cross_file
+  fi
+done
+
 
 # Test that the oldest Meson version we claim to support is still supported
 pip3 install meson==0.43