diff --git a/CHANGELOG.md b/CHANGELOG.md
index ba4394af42..d0b7d194b9 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,6 +4,12 @@ Changelog for the runtimes governed by the Polkadot Fellowship.
 
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
 
+## Unreleased
+
+### Changed
+
+- Polkadot chains: allow arbitrary XCM execution ([polkadot-fellows/runtimes#345](https://github.com/polkadot-fellows/runtimes/pull/345))
+
 ## [1.2.7] 14.06.2024
 
 Note: This release only affects the following runtimes and is not a full system release:
diff --git a/relay/kusama/src/xcm_config.rs b/relay/kusama/src/xcm_config.rs
index 106550cc19..b7e5dd0599 100644
--- a/relay/kusama/src/xcm_config.rs
+++ b/relay/kusama/src/xcm_config.rs
@@ -216,7 +216,7 @@ impl xcm_executor::Config for XcmConfig {
 		WaivedLocations,
 		XcmFeeToAccount<Self::AssetTransactor, AccountId, TreasuryAccount>,
 	>;
-	// No bridges yet...
+	// No bridges on the Relay Chain
 	type MessageExporter = ();
 	type UniversalAliases = Nothing;
 	type CallDispatcher = RuntimeCall;
diff --git a/relay/polkadot/src/xcm_config.rs b/relay/polkadot/src/xcm_config.rs
index 87fbd6560b..33c9b56edd 100644
--- a/relay/polkadot/src/xcm_config.rs
+++ b/relay/polkadot/src/xcm_config.rs
@@ -232,7 +232,7 @@ impl xcm_executor::Config for XcmConfig {
 		WaivedLocations,
 		XcmFeeToAccount<Self::AssetTransactor, AccountId, TreasuryAccount>,
 	>;
-	// No bridges yet...
+	// No bridges on the Relay Chain
 	type MessageExporter = ();
 	type UniversalAliases = Nothing;
 	type CallDispatcher = RuntimeCall;
@@ -294,10 +294,9 @@ impl pallet_xcm::Config for Runtime {
 	// messages.
 	type SendXcmOrigin = xcm_builder::EnsureXcmOrigin<RuntimeOrigin, LocalPalletOriginToLocation>;
 	type XcmRouter = XcmRouter;
-	// Anyone can execute XCM messages locally...
+	// Anyone can execute XCM messages locally.
 	type ExecuteXcmOrigin = xcm_builder::EnsureXcmOrigin<RuntimeOrigin, LocalOriginToLocation>;
-	// ...but they must match our filter, which rejects all.
-	type XcmExecuteFilter = Nothing; // == Deny All
+	type XcmExecuteFilter = Everything;
 	type XcmExecutor = xcm_executor::XcmExecutor<XcmConfig>;
 	type XcmTeleportFilter = Everything; // == Allow All
 	type XcmReserveTransferFilter = Everything; // == Allow All
diff --git a/system-parachains/asset-hubs/asset-hub-polkadot/src/xcm_config.rs b/system-parachains/asset-hubs/asset-hub-polkadot/src/xcm_config.rs
index eddc63a0ee..dfce27d97a 100644
--- a/system-parachains/asset-hubs/asset-hub-polkadot/src/xcm_config.rs
+++ b/system-parachains/asset-hubs/asset-hub-polkadot/src/xcm_config.rs
@@ -486,11 +486,9 @@ impl pallet_xcm::Config for Runtime {
 	// We want to disallow users sending (arbitrary) XCMs from this chain.
 	type SendXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, ()>;
 	type XcmRouter = XcmRouter;
-	// We support local origins dispatching XCM executions in principle...
+	// Anyone can execute XCM messages locally.
 	type ExecuteXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, LocalOriginToLocation>;
-	// ... but disallow generic XCM execution. As a result only teleports and reserve transfers are
-	// allowed.
-	type XcmExecuteFilter = Nothing;
+	type XcmExecuteFilter = Everything;
 	type XcmExecutor = XcmExecutor<XcmConfig>;
 	type XcmTeleportFilter = Everything;
 	type XcmReserveTransferFilter = Everything;
diff --git a/system-parachains/bridge-hubs/bridge-hub-polkadot/src/xcm_config.rs b/system-parachains/bridge-hubs/bridge-hub-polkadot/src/xcm_config.rs
index 66c6cb772e..6c7ad9086f 100644
--- a/system-parachains/bridge-hubs/bridge-hub-polkadot/src/xcm_config.rs
+++ b/system-parachains/bridge-hubs/bridge-hub-polkadot/src/xcm_config.rs
@@ -264,10 +264,9 @@ impl pallet_xcm::Config for Runtime {
 	// We want to disallow users sending (arbitrary) XCMs from this chain.
 	type SendXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, ()>;
 	type XcmRouter = XcmRouter;
-	// We support local origins dispatching XCM executions in principle...
+	// Anyone can execute XCM messages locally.
 	type ExecuteXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, LocalOriginToLocation>;
-	// ... but disallow generic XCM execution. As a result only teleports are allowed.
-	type XcmExecuteFilter = Nothing;
+	type XcmExecuteFilter = Everything;
 	type XcmExecutor = XcmExecutor<XcmConfig>;
 	type XcmTeleportFilter = Everything;
 	type XcmReserveTransferFilter = Nothing; // This parachain is not meant as a reserve location.
diff --git a/system-parachains/collectives/collectives-polkadot/src/xcm_config.rs b/system-parachains/collectives/collectives-polkadot/src/xcm_config.rs
index 5f9b7c807c..29847a3fc0 100644
--- a/system-parachains/collectives/collectives-polkadot/src/xcm_config.rs
+++ b/system-parachains/collectives/collectives-polkadot/src/xcm_config.rs
@@ -259,10 +259,9 @@ impl pallet_xcm::Config for Runtime {
 	// We only allow the Fellows to send messages.
 	type SendXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, FellowsToPlurality>;
 	type XcmRouter = XcmRouter;
-	// We support local origins dispatching XCM executions in principle...
+	// Anyone can execute XCM messages locally.
 	type ExecuteXcmOrigin = EnsureXcmOrigin<RuntimeOrigin, LocalOriginToLocation>;
-	// ... but disallow generic XCM execution. As a result only teleports are allowed.
-	type XcmExecuteFilter = Nothing;
+	type XcmExecuteFilter = Everything;
 	type XcmExecutor = XcmExecutor<XcmConfig>;
 	type XcmTeleportFilter = Everything;
 	type XcmReserveTransferFilter = Nothing; // This parachain is not meant as a reserve location.