diff --git a/tests/data/pixi_tomls/python_mismatch.toml b/tests/data/pixi_tomls/python_mismatch.toml
new file mode 100644
index 000000000..22751a68d
--- /dev/null
+++ b/tests/data/pixi_tomls/python_mismatch.toml
@@ -0,0 +1,12 @@
+[project]
+channels = ["conda-forge"]
+name = "test"
+platforms = ["osx-arm64", "linux-64"]
+
+[target.linux-64.dependencies]
+python = "3.12"
+[target.osx-arm64.dependencies]
+python = "3.13"
+
+[pypi-dependencies]
+finch-mlir = "==0.0.2"
diff --git a/tests/integration_python/test_edge_cases.py b/tests/integration_python/test_edge_cases.py
new file mode 100644
index 000000000..fa569acc5
--- /dev/null
+++ b/tests/integration_python/test_edge_cases.py
@@ -0,0 +1,38 @@
+from pathlib import Path
+import pytest
+import platform
+from .common import verify_cli_command, ExitCode
+
+
+@pytest.mark.slow
+def test_pypi_git_deps(pixi: Path, tmp_path: Path) -> None:
+    """Test where we need to lookup recursive git dependencies and consider them first party"""
+    test_data = Path(__file__).parent.parent / "data/pixi_tomls/pip_git_dep.toml"
+    manifest = tmp_path.joinpath("pixi.toml")
+    toml = test_data.read_text()
+    manifest.write_text(toml)
+
+    # Run the installation
+    verify_cli_command(
+        [pixi, "install", "--manifest-path", manifest],
+        ExitCode.SUCCESS,
+    )
+
+
+@pytest.mark.slow
+@pytest.mark.skipif(
+    not (platform.system() == "Darwin" and platform.machine() == "arm64"),
+    reason="Test tailored for macOS arm so that we can get two different python interpreters",
+)
+def test_python_mismatch(pixi: Path, tmp_path: Path) -> None:
+    """Test pypi wheel install where the base interpreter is not the same as the target version"""
+    test_data = Path(__file__).parent.parent / "data/pixi_tomls/python_mismatch.toml"
+    manifest = tmp_path.joinpath("pixi.toml")
+    toml = test_data.read_text()
+    manifest.write_text(toml)
+
+    # Install
+    verify_cli_command(
+        [pixi, "install", "--manifest-path", manifest],
+        ExitCode.SUCCESS,
+    )
diff --git a/tests/integration_python/test_run_cli.py b/tests/integration_python/test_run_cli.py
index f6a44c1ec..7fbc3d848 100644
--- a/tests/integration_python/test_run_cli.py
+++ b/tests/integration_python/test_run_cli.py
@@ -1,5 +1,4 @@
 from pathlib import Path
-import pytest
 from .common import verify_cli_command, ExitCode, default_env_path
 
 ALL_PLATFORMS = '["linux-64", "osx-64", "win-64", "linux-ppc64le", "linux-aarch64"]'
@@ -154,17 +153,3 @@ def test_prefix_revalidation(pixi: Path, tmp_path: Path, dummy_channel_1: str) -
     # Validate that the dummy-a files are reinstalled
     for file in dummy_a_meta_files:
         assert Path(file).exists()
-
-
-@pytest.mark.slow
-def test_pypi_git_deps(pixi: Path, tmp_path: Path) -> None:
-    test_data = Path(__file__).parent.parent / "data/pixi_tomls/pip_git_dep.toml"
-    manifest = tmp_path.joinpath("pixi.toml")
-    toml = test_data.read_text()
-    manifest.write_text(toml)
-
-    # Run the installation
-    verify_cli_command(
-        [pixi, "install", "--manifest-path", manifest],
-        ExitCode.SUCCESS,
-    )