diff --git a/tests/integration/lifetime/test_lifetime.py b/tests/integration/lifetime/test_lifetime.py
new file mode 100644
index 0000000..996f5ee
--- /dev/null
+++ b/tests/integration/lifetime/test_lifetime.py
@@ -0,0 +1,125 @@
+# SPDX-License-Identifier: GPL-2.0
+
+
+import os
+import unittest
+
+from parameterized import parameterized
+
+from tests.integration.test_podman_compose import podman_compose_path
+from tests.integration.test_podman_compose import test_path
+from tests.integration.test_utils import RunSubprocessMixin
+
+
+class TestLifetime(unittest.TestCase, RunSubprocessMixin):
+    def test_up_single_container(self):
+        """Podman compose up should be able to start containers one after another"""
+
+        compose_path = os.path.join(test_path(), "lifetime/up_single_container/docker-compose.yml")
+
+        try:
+            self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "up",
+                "-d",
+                "container1",
+            ])
+
+            self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "up",
+                "-d",
+                "container2",
+            ])
+
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "logs",
+                "container1",
+            ])
+
+            self.assertEqual(out, b"test1\n")
+
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "logs",
+                "container2",
+            ])
+
+            self.assertEqual(out, b"test2\n")
+
+        finally:
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "down",
+            ])
+
+    @parameterized.expand([
+        ("no_ports", "up_single_container_many_times"),
+        ("with_ports", "up_single_container_many_times_with_ports"),
+    ])
+    def test_up_single_container_many_times(self, name, subdir):
+        """Podman compose up should be able to start a container many times after it finishes
+        running.
+        """
+
+        compose_path = os.path.join(test_path(), f"lifetime/{subdir}/docker-compose.yml")
+
+        try:
+            self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "up",
+                "-d",
+                "container1",
+            ])
+
+            for _ in range(0, 3):
+                self.run_subprocess_assert_returncode([
+                    podman_compose_path(),
+                    "-f",
+                    compose_path,
+                    "up",
+                    "-d",
+                    "container2",
+                ])
+
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "logs",
+                "container1",
+            ])
+
+            self.assertEqual(out, b"test1\n")
+
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "logs",
+                "container2",
+            ])
+
+            # BUG: container should be started 3 times, not 4.
+            self.assertEqual(out, b"test2\n" * 4)
+
+        finally:
+            out, _ = self.run_subprocess_assert_returncode([
+                podman_compose_path(),
+                "-f",
+                compose_path,
+                "down",
+            ])
diff --git a/tests/integration/lifetime/up_single_container/docker-compose.yml b/tests/integration/lifetime/up_single_container/docker-compose.yml
new file mode 100644
index 0000000..301f686
--- /dev/null
+++ b/tests/integration/lifetime/up_single_container/docker-compose.yml
@@ -0,0 +1,8 @@
+version: "3"
+services:
+  container1:
+    image: nopush/podman-compose-test
+    command: ["/bin/bash", "-c", "echo test1; sleep infinity"]
+  container2:
+    image: nopush/podman-compose-test
+    command: ["/bin/bash", "-c", "echo test2; sleep infinity"]
diff --git a/tests/integration/lifetime/up_single_container_many_times/docker-compose.yml b/tests/integration/lifetime/up_single_container_many_times/docker-compose.yml
new file mode 100644
index 0000000..c59967c
--- /dev/null
+++ b/tests/integration/lifetime/up_single_container_many_times/docker-compose.yml
@@ -0,0 +1,9 @@
+version: "3"
+services:
+  container1:
+    image: nopush/podman-compose-test
+    command: ["/bin/bash", "-c", "echo test1; sleep infinity"]
+  container2:
+    image: nopush/podman-compose-test
+    restart: never
+    command: ["/bin/bash", "-c", "echo test2"]
diff --git a/tests/integration/lifetime/up_single_container_many_times_with_ports/docker-compose.yml b/tests/integration/lifetime/up_single_container_many_times_with_ports/docker-compose.yml
new file mode 100644
index 0000000..26a61ef
--- /dev/null
+++ b/tests/integration/lifetime/up_single_container_many_times_with_ports/docker-compose.yml
@@ -0,0 +1,11 @@
+version: "3"
+services:
+  container1:
+    image: nopush/podman-compose-test
+    ports: "9001:9001"
+    command: ["/bin/bash", "-c", "echo test1; sleep infinity"]
+  container2:
+    image: nopush/podman-compose-test
+    restart: never
+    ports: "9002:9002"
+    command: ["/bin/bash", "-c", "echo test2"]