diff --git a/5.0/Dockerfile b/5.0/Dockerfile
index b138bfe..858c6db 100644
--- a/5.0/Dockerfile
+++ b/5.0/Dockerfile
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,17 +12,18 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
 	apt-get update; \
 	apt-get install -y --no-install-recommends \
 		ovmf \
+		ovmf-ia32 \
 		qemu-efi-aarch64 \
 		qemu-efi-arm \
 	; \
diff --git a/5.0/Dockerfile.native b/5.0/Dockerfile.native
index 3b3cd11..402acbf 100644
--- a/5.0/Dockerfile.native
+++ b/5.0/Dockerfile.native
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,11 +12,11 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
@@ -26,6 +26,7 @@ RUN set -eux; \
 		amd64) apt-get install -y --no-install-recommends ovmf ;; \
 		arm64) apt-get install -y --no-install-recommends qemu-efi-aarch64 ;; \
 		armel | armhf) apt-get install -y --no-install-recommends qemu-efi-arm ;; \
+		i386) apt-get install -y --no-install-recommends ovmf-ia32 ;; \
 		*) echo >&2 "warning: architecture '$arch' unknown 😅 (is there a 'QEMU firmware' package that should be installed here? likely candidates: https://packages.debian.org/source/$suite/edk2)" ;; \
 	esac; \
 	rm -rf /var/lib/apt/lists/*
diff --git a/5.1/Dockerfile b/5.1/Dockerfile
index 9d93c33..c346587 100644
--- a/5.1/Dockerfile
+++ b/5.1/Dockerfile
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,17 +12,18 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
 	apt-get update; \
 	apt-get install -y --no-install-recommends \
 		ovmf \
+		ovmf-ia32 \
 		qemu-efi-aarch64 \
 		qemu-efi-arm \
 	; \
diff --git a/5.1/Dockerfile.native b/5.1/Dockerfile.native
index 8f3900c..a22c2bb 100644
--- a/5.1/Dockerfile.native
+++ b/5.1/Dockerfile.native
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,11 +12,11 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
@@ -26,6 +26,7 @@ RUN set -eux; \
 		amd64) apt-get install -y --no-install-recommends ovmf ;; \
 		arm64) apt-get install -y --no-install-recommends qemu-efi-aarch64 ;; \
 		armel | armhf) apt-get install -y --no-install-recommends qemu-efi-arm ;; \
+		i386) apt-get install -y --no-install-recommends ovmf-ia32 ;; \
 		*) echo >&2 "warning: architecture '$arch' unknown 😅 (is there a 'QEMU firmware' package that should be installed here? likely candidates: https://packages.debian.org/source/$suite/edk2)" ;; \
 	esac; \
 	rm -rf /var/lib/apt/lists/*
diff --git a/5.2/Dockerfile b/5.2/Dockerfile
index 8e6c479..d18dbcb 100644
--- a/5.2/Dockerfile
+++ b/5.2/Dockerfile
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,17 +12,18 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
 	apt-get update; \
 	apt-get install -y --no-install-recommends \
 		ovmf \
+		ovmf-ia32 \
 		qemu-efi-aarch64 \
 		qemu-efi-arm \
 	; \
diff --git a/5.2/Dockerfile.native b/5.2/Dockerfile.native
index b6f2825..4278e34 100644
--- a/5.2/Dockerfile.native
+++ b/5.2/Dockerfile.native
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,11 +12,11 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
@@ -26,6 +26,7 @@ RUN set -eux; \
 		amd64) apt-get install -y --no-install-recommends ovmf ;; \
 		arm64) apt-get install -y --no-install-recommends qemu-efi-aarch64 ;; \
 		armel | armhf) apt-get install -y --no-install-recommends qemu-efi-arm ;; \
+		i386) apt-get install -y --no-install-recommends ovmf-ia32 ;; \
 		*) echo >&2 "warning: architecture '$arch' unknown 😅 (is there a 'QEMU firmware' package that should be installed here? likely candidates: https://packages.debian.org/source/$suite/edk2)" ;; \
 	esac; \
 	rm -rf /var/lib/apt/lists/*
diff --git a/6.0/Dockerfile b/6.0/Dockerfile
index ef92abe..d0c0521 100644
--- a/6.0/Dockerfile
+++ b/6.0/Dockerfile
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,17 +12,18 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
 	apt-get update; \
 	apt-get install -y --no-install-recommends \
 		ovmf \
+		ovmf-ia32 \
 		qemu-efi-aarch64 \
 		qemu-efi-arm \
 	; \
diff --git a/6.0/Dockerfile.native b/6.0/Dockerfile.native
index 06086dc..3057f20 100644
--- a/6.0/Dockerfile.native
+++ b/6.0/Dockerfile.native
@@ -4,7 +4,7 @@
 # PLEASE DO NOT EDIT IT DIRECTLY.
 #
 
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -12,11 +12,11 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
@@ -26,6 +26,7 @@ RUN set -eux; \
 		amd64) apt-get install -y --no-install-recommends ovmf ;; \
 		arm64) apt-get install -y --no-install-recommends qemu-efi-aarch64 ;; \
 		armel | armhf) apt-get install -y --no-install-recommends qemu-efi-arm ;; \
+		i386) apt-get install -y --no-install-recommends ovmf-ia32 ;; \
 		*) echo >&2 "warning: architecture '$arch' unknown 😅 (is there a 'QEMU firmware' package that should be installed here? likely candidates: https://packages.debian.org/source/$suite/edk2)" ;; \
 	esac; \
 	rm -rf /var/lib/apt/lists/*
diff --git a/Dockerfile.template b/Dockerfile.template
index d18570a..8c9e9c9 100644
--- a/Dockerfile.template
+++ b/Dockerfile.template
@@ -1,4 +1,4 @@
-FROM debian:buster-slim
+FROM debian:bullseye-slim
 
 RUN set -eux; \
 # add backports for (potentially) newer QEMU firmware packages
@@ -6,11 +6,11 @@ RUN set -eux; \
 	echo "deb http://deb.debian.org/debian $suite-backports main" > /etc/apt/sources.list.d/backports.list; \
 # and add APT pinning to ensure we don't accidentally get QEMU from Debian
 	{ \
-		echo 'Package: qemu-efi-* ovmf'; \
+		echo 'Package: src:edk2'; \
 		echo 'Pin: release a=*-backports'; \
 		echo 'Pin-Priority: 600'; \
 		echo; \
-		echo 'Package: qemu*'; \
+		echo 'Package: src:qemu'; \
 		echo 'Pin: version *'; \
 		echo 'Pin-Priority: -10'; \
 	} > /etc/apt/preferences.d/qemu.pref; \
@@ -19,8 +19,8 @@ RUN set -eux; \
 	amd64: "ovmf",
 	arm64: "qemu-efi-aarch64",
 	"armel | armhf": "qemu-efi-arm",
-# TODO add "i386": "ovmf-ia32" in bullseye+
-# TODO in bullseye+, add u-boot-qemu ?  https://packages.debian.org/bullseye/u-boot-qemu (not sure which arches to add this to since it contains all of them...  maybe every relevant one?)
+	i386: "ovmf-ia32",
+# TODO add u-boot-qemu ?  https://packages.debian.org/bullseye/u-boot-qemu (not sure which arches to add this to since it contains all of them...  maybe every relevant one?)
 } -}}
 {{ if env.variant == "native" then ( -}}
 	arch="$(dpkg --print-architecture)"; \