diff --git a/components/engine/daemon/container.go b/components/engine/daemon/container.go
index 1c01a74ed6..a16abf2144 100644
--- a/components/engine/daemon/container.go
+++ b/components/engine/daemon/container.go
@@ -343,6 +343,16 @@ func (daemon *Daemon) verifyContainerSettings(platform string, hostConfig *conta
 		return nil, errors.Errorf("invalid isolation '%s' on %s", hostConfig.Isolation, runtime.GOOS)
 	}
 
+	var (
+		err      error
+		warnings []string
+	)
 	// Now do platform-specific verification
-	return verifyPlatformContainerSettings(daemon, hostConfig, config, update)
+	if warnings, err = verifyPlatformContainerSettings(daemon, hostConfig, config, update); err != nil {
+		return warnings, err
+	}
+	if hostConfig.NetworkMode.IsHost() && len(hostConfig.PortBindings) > 0 {
+		warnings = append(warnings, "Published ports are discarded when using host network mode")
+	}
+	return warnings, err
 }
diff --git a/components/engine/daemon/container_unix_test.go b/components/engine/daemon/container_unix_test.go
new file mode 100644
index 0000000000..e102be6cdc
--- /dev/null
+++ b/components/engine/daemon/container_unix_test.go
@@ -0,0 +1,44 @@
+// +build linux freebsd
+
+package daemon
+
+import (
+	"testing"
+
+	"github.com/docker/docker/api/types"
+	containertypes "github.com/docker/docker/api/types/container"
+	"github.com/docker/docker/daemon/config"
+	"github.com/docker/go-connections/nat"
+	"github.com/stretchr/testify/require"
+)
+
+// TestContainerWarningHostAndPublishPorts that a warning is returned when setting network mode to host and specifying published ports.
+// This should not be tested on Windows because Windows doesn't support "host" network mode.
+func TestContainerWarningHostAndPublishPorts(t *testing.T) {
+	testCases := []struct {
+		ports    nat.PortMap
+		warnings []string
+	}{
+		{ports: nat.PortMap{}},
+		{ports: nat.PortMap{
+			"8080": []nat.PortBinding{{HostPort: "8989"}},
+		}, warnings: []string{"Published ports are discarded when using host network mode"}},
+	}
+
+	for _, tc := range testCases {
+		hostConfig := &containertypes.HostConfig{
+			Runtime:      "runc",
+			NetworkMode:  "host",
+			PortBindings: tc.ports,
+		}
+		cs := &config.Config{
+			CommonUnixConfig: config.CommonUnixConfig{
+				Runtimes: map[string]types.Runtime{"runc": {}},
+			},
+		}
+		d := &Daemon{configStore: cs}
+		wrns, err := d.verifyContainerSettings("", hostConfig, &containertypes.Config{}, false)
+		require.NoError(t, err)
+		require.Equal(t, tc.warnings, wrns)
+	}
+}
diff --git a/components/engine/integration/build/build_test.go b/components/engine/integration/build/build_test.go
index 2a87204113..3f7b1dcf34 100644
--- a/components/engine/integration/build/build_test.go
+++ b/components/engine/integration/build/build_test.go
@@ -244,6 +244,75 @@ RUN cat somefile`
 	assert.Contains(t, image.Config.Env, "bar=baz")
 }
 
+// #35403 #36122
+func TestBuildUncleanTarFilenames(t *testing.T) {
+	ctx := context.TODO()
+	defer setupTest(t)()
+
+	dockerfile := `FROM scratch
+COPY foo /
+FROM scratch
+COPY bar /`
+
+	buf := bytes.NewBuffer(nil)
+	w := tar.NewWriter(buf)
+	writeTarRecord(t, w, "Dockerfile", dockerfile)
+	writeTarRecord(t, w, "../foo", "foocontents0")
+	writeTarRecord(t, w, "/bar", "barcontents0")
+	err := w.Close()
+	require.NoError(t, err)
+
+	apiclient := testEnv.APIClient()
+	resp, err := apiclient.ImageBuild(ctx,
+		buf,
+		types.ImageBuildOptions{
+			Remove:      true,
+			ForceRemove: true,
+		})
+
+	out := bytes.NewBuffer(nil)
+	require.NoError(t, err)
+	_, err = io.Copy(out, resp.Body)
+	resp.Body.Close()
+	require.NoError(t, err)
+
+	// repeat with changed data should not cause cache hits
+
+	buf = bytes.NewBuffer(nil)
+	w = tar.NewWriter(buf)
+	writeTarRecord(t, w, "Dockerfile", dockerfile)
+	writeTarRecord(t, w, "../foo", "foocontents1")
+	writeTarRecord(t, w, "/bar", "barcontents1")
+	err = w.Close()
+	require.NoError(t, err)
+
+	resp, err = apiclient.ImageBuild(ctx,
+		buf,
+		types.ImageBuildOptions{
+			Remove:      true,
+			ForceRemove: true,
+		})
+
+	out = bytes.NewBuffer(nil)
+	require.NoError(t, err)
+	_, err = io.Copy(out, resp.Body)
+	resp.Body.Close()
+	require.NoError(t, err)
+	require.NotContains(t, out.String(), "Using cache")
+}
+
+func writeTarRecord(t *testing.T, w *tar.Writer, fn, contents string) {
+	err := w.WriteHeader(&tar.Header{
+		Name:     fn,
+		Mode:     0600,
+		Size:     int64(len(contents)),
+		Typeflag: '0',
+	})
+	require.NoError(t, err)
+	_, err = w.Write([]byte(contents))
+	require.NoError(t, err)
+}
+
 type buildLine struct {
 	Stream string
 	Aux    struct {
diff --git a/components/engine/pkg/tarsum/tarsum.go b/components/engine/pkg/tarsum/tarsum.go
index 6ad152a2ed..8c8478a455 100644
--- a/components/engine/pkg/tarsum/tarsum.go
+++ b/components/engine/pkg/tarsum/tarsum.go
@@ -236,7 +236,7 @@ func (ts *tarSum) Read(buf []byte) (int, error) {
 				}
 				return n, err
 			}
-			ts.currentFile = path.Clean(currentHeader.Name)
+			ts.currentFile = path.Join(".", path.Join("/", currentHeader.Name))
 			if err := ts.encodeHeader(currentHeader); err != nil {
 				return 0, err
 			}