diff --git a/news/7333.bugfix b/news/7333.bugfix
new file mode 100644
index 000000000..8ddcba76a
--- /dev/null
+++ b/news/7333.bugfix
@@ -0,0 +1 @@
+Include ``subdirectory`` URL fragments in cache keys.
diff --git a/src/pip/_internal/cache.py b/src/pip/_internal/cache.py
index c5431e14d..b3327ea9a 100644
--- a/src/pip/_internal/cache.py
+++ b/src/pip/_internal/cache.py
@@ -58,6 +58,10 @@ class Cache(object):
         key_parts = [link.url_without_fragment]
         if link.hash_name is not None and link.hash is not None:
             key_parts.append("=".join([link.hash_name, link.hash]))
+        if link.subdirectory_fragment:
+            key_parts.append(
+                "=".join(["subdirectory", link.subdirectory_fragment])
+            )
         key_url = "#".join(key_parts)
 
         # Encode our key url with sha224, we'll use this because it has similar
@@ -168,11 +172,17 @@ class SimpleWheelCache(Cache):
         # type: (...) -> Link
         candidates = []
 
+        canonical_package_name = None
+        if package_name:
+            canonical_package_name = canonicalize_name(package_name)
         for wheel_name in self._get_candidates(link, package_name):
             try:
                 wheel = Wheel(wheel_name)
             except InvalidWheelFilename:
                 continue
+            assert canonical_package_name
+            if wheel.name != canonical_package_name:
+                continue
             if not wheel.supported(supported_tags):
                 # Built for a different python/arch/etc
                 continue
diff --git a/tests/unit/test_cache.py b/tests/unit/test_cache.py
index d75cd2c65..79e4f624d 100644
--- a/tests/unit/test_cache.py
+++ b/tests/unit/test_cache.py
@@ -1,13 +1,44 @@
+import os
+
 from pip._internal.cache import WheelCache
+from pip._internal.models.format_control import FormatControl
+from pip._internal.models.link import Link
 from pip._internal.utils.compat import expanduser
+from pip._internal.utils.misc import ensure_dir
 
 
-class TestWheelCache:
+def test_expands_path():
+    wc = WheelCache("~/.foo/", None)
+    assert wc.cache_dir == expanduser("~/.foo/")
 
-    def test_expands_path(self):
-        wc = WheelCache("~/.foo/", None)
-        assert wc.cache_dir == expanduser("~/.foo/")
 
-    def test_falsey_path_none(self):
-        wc = WheelCache(False, None)
-        assert wc.cache_dir is None
+def test_falsey_path_none():
+    wc = WheelCache(False, None)
+    assert wc.cache_dir is None
+
+
+def test_subdirectory_fragment():
+    """
+    Test the subdirectory URL fragment is part of the cache key.
+    """
+    wc = WheelCache("~/.foo/", None)
+    link1 = Link("git+https://g.c/o/r#subdirectory=d1")
+    link2 = Link("git+https://g.c/o/r#subdirectory=d2")
+    assert wc.get_path_for_link(link1) != wc.get_path_for_link(link2)
+
+
+def test_wheel_name_filter(tmpdir):
+    """
+    Test the wheel cache filters on wheel name when several wheels
+    for different package are stored under the same cache directory.
+    """
+    wc = WheelCache(tmpdir, FormatControl())
+    link = Link("https://g.c/package.tar.gz")
+    cache_path = wc.get_path_for_link(link)
+    ensure_dir(cache_path)
+    with open(os.path.join(cache_path, "package-1.0-py3-none-any.whl"), "w"):
+        pass
+    # package matches wheel name
+    assert wc.get(link, "package", [("py3", "none", "any")]) is not link
+    # package2 does not match wheel name
+    assert wc.get(link, "package2", [("py3", "none", "any")]) is link