diff --git a/Cargo.lock b/Cargo.lock
index 68aefffb82..035e5d0c01 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -2422,6 +2422,7 @@ dependencies = [
  "cumulus-pallet-xcmp-queue",
  "emulated-integration-tests-common",
  "frame-support",
+ "frame-system",
  "hex-literal",
  "integration-tests-helpers",
  "kusama-polkadot-system-emulated-network",
diff --git a/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/Cargo.toml b/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/Cargo.toml
index 9e171cb00f..12fb9da566 100644
--- a/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/Cargo.toml
+++ b/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/Cargo.toml
@@ -17,6 +17,7 @@ sp-core = { workspace = true, default-features = true }
 sp-io = { workspace = true, default-features = true }
 sp-runtime = { workspace = true, default-features = true }
 frame-support = { workspace = true, default-features = true }
+frame-system = { workspace = true, default-features = true }
 pallet-balances = { workspace = true, default-features = true }
 pallet-asset-conversion = { workspace = true, default-features = true }
 pallet-assets = { workspace = true, default-features = true }
@@ -75,6 +76,7 @@ runtime-benchmarks = [
 	"cumulus-pallet-parachain-system/runtime-benchmarks",
 	"cumulus-pallet-xcmp-queue/runtime-benchmarks",
 	"frame-support/runtime-benchmarks",
+	"frame-system/runtime-benchmarks",
 	"integration-tests-helpers/runtime-benchmarks",
 	"kusama-polkadot-system-emulated-network/runtime-benchmarks",
 	"pallet-asset-conversion/runtime-benchmarks",
diff --git a/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/src/tests/snowbridge.rs b/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/src/tests/snowbridge.rs
index 98dc5ecd3b..27619a4a98 100644
--- a/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/src/tests/snowbridge.rs
+++ b/integration-tests/emulated/tests/bridges/bridge-hub-polkadot/src/tests/snowbridge.rs
@@ -648,7 +648,7 @@ fn make_register_token_message() -> EventFixture {
 	}
 }
 
-fn send_token_from_ethereum_to_asset_hub_with_fee(account_id: [u8; 32], fee: u128) {
+fn send_token_from_ethereum_to_asset_hub_with_fee(account_id: [u8; 32], amount: u128, fee: u128) {
 	// Fund asset hub sovereign on bridge hub
 	let asset_hub_sovereign = BridgeHubPolkadot::sovereign_account_id_of(Location::new(
 		1,
@@ -668,7 +668,7 @@ fn send_token_from_ethereum_to_asset_hub_with_fee(account_id: [u8; 32], fee: u12
 			command: Command::SendToken {
 				token: WETH.into(),
 				destination: Destination::AccountId32 { id: account_id },
-				amount: MIN_ETHER_BALANCE,
+				amount,
 				fee,
 			},
 		});
@@ -687,7 +687,11 @@ fn send_token_from_ethereum_to_asset_hub_with_fee(account_id: [u8; 32], fee: u12
 
 #[test]
 fn send_token_from_ethereum_to_existent_account_on_asset_hub() {
-	send_token_from_ethereum_to_asset_hub_with_fee(AssetHubPolkadotSender::get().into(), XCM_FEE);
+	send_token_from_ethereum_to_asset_hub_with_fee(
+		AssetHubPolkadotSender::get().into(),
+		MIN_ETHER_BALANCE,
+		XCM_FEE,
+	);
 
 	AssetHubPolkadot::execute_with(|| {
 		type RuntimeEvent = <AssetHubPolkadot as Chain>::RuntimeEvent;
@@ -704,7 +708,7 @@ fn send_token_from_ethereum_to_existent_account_on_asset_hub() {
 
 #[test]
 fn send_token_from_ethereum_to_non_existent_account_on_asset_hub() {
-	send_token_from_ethereum_to_asset_hub_with_fee([1; 32], XCM_FEE);
+	send_token_from_ethereum_to_asset_hub_with_fee([1; 32], MIN_ETHER_BALANCE, XCM_FEE);
 
 	AssetHubPolkadot::execute_with(|| {
 		type RuntimeEvent = <AssetHubPolkadot as Chain>::RuntimeEvent;
@@ -721,7 +725,11 @@ fn send_token_from_ethereum_to_non_existent_account_on_asset_hub() {
 
 #[test]
 fn send_token_from_ethereum_to_non_existent_account_on_asset_hub_with_insufficient_fee() {
-	send_token_from_ethereum_to_asset_hub_with_fee([1; 32], INSUFFICIENT_XCM_FEE);
+	send_token_from_ethereum_to_asset_hub_with_fee(
+		[1; 32],
+		MIN_ETHER_BALANCE,
+		INSUFFICIENT_XCM_FEE,
+	);
 
 	AssetHubPolkadot::execute_with(|| {
 		type RuntimeEvent = <AssetHubPolkadot as Chain>::RuntimeEvent;
@@ -740,19 +748,42 @@ fn send_token_from_ethereum_to_non_existent_account_on_asset_hub_with_insufficie
 #[test]
 fn send_token_from_ethereum_to_non_existent_account_on_asset_hub_with_sufficient_fee_but_do_not_satisfy_ed(
 ) {
-	// On AH the xcm fee is 26_789_690 and the ED is 3_300_000
-	send_token_from_ethereum_to_asset_hub_with_fee([1; 32], 30_000_000);
+	// On AH, ED is 0.1 DOT. Make both the transfer amount (in WETH) and the XCM fee below the ED.
+	let insufficient_token_amount_in_weth_below_ed = MIN_ETHER_BALANCE - 1;
+	let sufficient_fee_in_dot_below_ed = ASSET_HUB_POLKADOT_ED - 1;
+	// let sufficient_fee_above_ed = XCM_FEE;
+	send_token_from_ethereum_to_asset_hub_with_fee(
+		[1; 32],
+		insufficient_token_amount_in_weth_below_ed,
+		sufficient_fee_in_dot_below_ed,
+	);
 
 	AssetHubPolkadot::execute_with(|| {
 		type RuntimeEvent = <AssetHubPolkadot as Chain>::RuntimeEvent;
-
-		// Check that the message was not processed successfully due to insufficient ED
+		// Since the XCM fee is sufficient, the message is processed successfully.
 		assert_expected_events!(
 			AssetHubPolkadot,
 			vec![
-				RuntimeEvent::MessageQueue(pallet_message_queue::Event::Processed { success:false, .. }) => {},
+				RuntimeEvent::MessageQueue(pallet_message_queue::Event::Processed { success:true, .. }) => {},
 			]
 		);
+		let events = AssetHubPolkadot::events();
+		//Check that no foreign assets were issued
+		assert!(
+			!events.iter().any(|event| matches!(
+				event,
+				RuntimeEvent::ForeignAssets(pallet_assets::Event::Issued { .. })
+			)),
+			"Assets issued, should not happen."
+		);
+		//Check that no new account created
+		assert!(
+			!events.iter().any(|event| matches!(
+				event,
+				RuntimeEvent::System(frame_system::Event::NewAccount { .. })
+			)),
+			"Account created, should not happen."
+		);
 	});
 }