diff --git a/src/agent/src/rpc.rs b/src/agent/src/rpc.rs
index 3974c24aa5..816df3abcc 100644
--- a/src/agent/src/rpc.rs
+++ b/src/agent/src/rpc.rs
@@ -489,6 +489,14 @@ impl AgentService {
     async fn do_signal_process(&self, req: protocols::agent::SignalProcessRequest) -> Result<()> {
         let cid = req.container_id;
         let eid = req.exec_id;
+        let mut sig: libc::c_int = req.signal as libc::c_int;
+
+        let all = eid.is_empty() && sig == libc::SIGKILL;
+        // NOTE: kata runtime encodes all = true by setting eid = "".
+        // However, containerd can send eid = "", sig = SIGTERM, all = false when deleting containers
+        // (and containerd will send eid = "", sig = SIGKILL, all = true when forcefully deleting containers)
+        // Luckily, containerd never sends eid = "", sig = SIGKILL, all = false outside of ctr
+        // So we can recover the original value of all here by checking eid and sig
 
         info!(
             sl(),
@@ -496,10 +504,10 @@ impl AgentService {
             "container-id" => &cid,
             "exec-id" => &eid,
             "signal" => req.signal,
+            "all" => all,
         );
 
-        let mut sig: libc::c_int = req.signal as libc::c_int;
-        {
+        if !all {
             let mut sandbox = self.sandbox.lock().await;
             let p = sandbox
                 .find_container_process(cid.as_str(), eid.as_str())
@@ -512,6 +520,15 @@ impl AgentService {
                 sig = libc::SIGKILL;
             }
 
+            debug!(
+                sl(),
+                "signaling a container process";
+                "container-id" => &cid,
+                "exec-id" => &eid,
+                "pid" => p.pid,
+                "signal" => sig,
+            );
+
             match p.signal(sig) {
                 Err(Errno::ESRCH) => {
                     info!(
@@ -526,10 +543,8 @@ impl AgentService {
                 Err(err) => return Err(anyhow!(err)),
                 Ok(()) => (),
             }
-        };
-
-        if eid.is_empty() {
-            // eid is empty, signal all the remaining processes in the container cgroup
+        } else {
+            // Signalling all processes in the cgroup
             info!(
                 sl(),
                 "signal all the remaining processes";
diff --git a/tests/integration/kubernetes/k8s-graceful-termination.bats b/tests/integration/kubernetes/k8s-graceful-termination.bats
new file mode 100644
index 0000000000..affbdafbbd
--- /dev/null
+++ b/tests/integration/kubernetes/k8s-graceful-termination.bats
@@ -0,0 +1,80 @@
+#!/usr/bin/env bats
+#
+# Copyright (c) 2026 Schwarz Digits Cloud GmbH & Co. KG
+#
+# SPDX-License-Identifier: Apache-2.0
+#
+
+load "${BATS_TEST_DIRNAME}/lib.sh"
+load "${BATS_TEST_DIRNAME}/../../common.bash"
+load "${BATS_TEST_DIRNAME}/tests_common.sh"
+
+setup() {
+	setup_common || die "setup_common failed"
+}
+
+# Wait for a pod to reach a terminated state (Completed or Error).
+# Copyright (c) 2026 NVIDIA Corporation
+wait_for_pod_terminated() {
+	local pod_name="$1"
+	local elapsed=0
+	local poll=5
+
+	while [ "${elapsed}" -lt "${wait_time}" ]; do
+		local reason
+		reason=$(kubectl get pod "${pod_name}" \
+			-o jsonpath='{.status.containerStatuses[0].state.terminated.reason}' 2>/dev/null || true)
+		if [[ "${reason}" == "Completed" ]] || [[ "${reason}" == "Error" ]]; then
+			return 0
+		fi
+		sleep "${poll}"
+		elapsed=$((elapsed + poll))
+	done
+	echo "Pod ${pod_name} did not terminate within ${wait_time}s" >&2
+	return 1
+}
+
+@test "On pod termination, SIGTERM is sent only once" {
+	pod_name="graceful-termination-test"
+	yaml_file="${pod_config_dir}/pod-graceful-termination.yaml"
+	# Add policy to the yaml file
+	policy_settings_dir="$(create_tmp_policy_settings_dir "${pod_config_dir}")"
+	add_requests_to_policy_settings "${policy_settings_dir}" "GetDiagnosticDataRequest"
+	auto_generate_policy "${policy_settings_dir}" "${yaml_file}"
+
+	# Create pod
+	kubectl create -f "${yaml_file}"
+
+	# Add finalizer so the pod is not fully removed during the test
+	kubectl patch pod "$pod_name" --patch '{"metadata":{"finalizers":["katacontainers.io/test-finalizer"]}}' --type=merge
+
+	# Check pod creation
+	kubectl wait --for=condition=Ready --timeout=$timeout pod "$pod_name"
+
+    # Send a SIGTERM by deleting the pod
+	kubectl delete pod "$pod_name" --wait=false
+
+	# Wait for pod deletion
+	wait_for_pod_terminated "${pod_name}"
+
+	local reason
+	reason=$(kubectl get pod "${pod_name}" \
+		-o jsonpath='{.status.containerStatuses[0].state.terminated.reason}')
+	[ "${reason}" = "Error" ] # Error since we rely on terminationGracePeriodSeconds to terminate the Pod
+
+	local message
+	message=$(kubectl get pod "${pod_name}" \
+		-o jsonpath='{.status.containerStatuses[0].state.terminated.message}')
+	echo "termination message: ${message}"
+	[ "${message}" = "start, received SIGTERM" ] # Must be this exact message, with only one SIGTERM
+
+	# Remove the finalizer to let kubernetes fully delete the pod
+	kubectl patch pod "$pod_name" --patch '{"metadata":{"finalizers":null}}' --type=merge
+}
+
+teardown() {
+    kubectl patch pod "$pod_name" --patch '{"metadata":{"finalizers":null}}' --type=merge || true
+	kubectl delete pod "$pod_name"
+	delete_tmp_policy_settings_dir "${policy_settings_dir}"
+	teardown_common "${node}" "${node_start_time:-}"
+}
diff --git a/tests/integration/kubernetes/run_kubernetes_tests.sh b/tests/integration/kubernetes/run_kubernetes_tests.sh
index 9fb3bf3d3b..d003d43a08 100755
--- a/tests/integration/kubernetes/run_kubernetes_tests.sh
+++ b/tests/integration/kubernetes/run_kubernetes_tests.sh
@@ -78,6 +78,7 @@ else
 		"k8s-erofs-dmverity.bats" \
 		"k8s-exec.bats" \
 		"k8s-file-volume.bats" \
+		"k8s-graceful-termination.bats" \
 		"k8s-hostname.bats" \
 		"k8s-hostpath-volume.bats" \
 		"k8s-inotify.bats" \
diff --git a/tests/integration/kubernetes/runtimeclass_workloads/pod-graceful-termination.yaml b/tests/integration/kubernetes/runtimeclass_workloads/pod-graceful-termination.yaml
new file mode 100644
index 0000000000..f968ead0d8
--- /dev/null
+++ b/tests/integration/kubernetes/runtimeclass_workloads/pod-graceful-termination.yaml
@@ -0,0 +1,29 @@
+#
+# Copyright (c) 2026 Schwarz Digits Cloud GmbH & Co. KG
+#
+# SPDX-License-Identifier: Apache-2.0
+#
+apiVersion: v1
+kind: Pod
+metadata:
+  name: graceful-termination-test
+spec:
+  runtimeClassName: kata
+  securityContext:
+    supplementalGroups: [10]
+  containers:
+  - name: sigterm-trap
+    image: quay.io/prometheus/busybox:latest
+    command:
+    - "/bin/sh"
+    - "-c"
+    - |
+      echo -n 'start' > /dev/termination-log
+      trap "echo -n ', received SIGINT' >> /dev/termination-log; wait" SIGINT
+      trap "echo -n ', received SIGTERM' >> /dev/termination-log; wait" SIGTERM
+      tail -f /dev/null & wait
+      # (We use wait to allow busybox ash to receive the TERM signal, see e.g. https://unix.stackexchange.com/a/387854)
+      # (wait in the traps is needed so we continue waiting after the first wait is interrupted)
+      # (Ultimatelly, the container will be killed by a SIGKILL after terminationGracePeriodSeconds)
+      echo -n ', normal exit' >> /dev/termination-log
+  terminationGracePeriodSeconds: 1