diff --git a/images/handlers.go b/images/handlers.go
index 05a9017bc..a228aad5b 100644
--- a/images/handlers.go
+++ b/images/handlers.go
@@ -40,6 +40,10 @@ var (
 	// This applies only to a single descriptor in a handler
 	// chain and does not apply to descendant descriptors.
 	ErrStopHandler = fmt.Errorf("stop handler")
+
+	// ErrEmptyWalk is used when the WalkNotEmpty handlers return no
+	// children (e.g.: they were filtered out).
+	ErrEmptyWalk = fmt.Errorf("image might be filtered out")
 )
 
 // Handler handles image manifests
@@ -99,6 +103,36 @@ func Walk(ctx context.Context, handler Handler, descs ...ocispec.Descriptor) err
 			}
 		}
 	}
+	return nil
+}
+
+// WalkNotEmpty works the same way Walk does, with the exception that it ensures that
+// some children are still found by Walking the descriptors (for example, not all of
+// them have been filtered out by one of the handlers). If there are no children,
+// then an ErrEmptyWalk error is returned.
+func WalkNotEmpty(ctx context.Context, handler Handler, descs ...ocispec.Descriptor) error {
+	isEmpty := true
+	var notEmptyHandler HandlerFunc = func(ctx context.Context, desc ocispec.Descriptor) ([]ocispec.Descriptor, error) {
+		children, err := handler.Handle(ctx, desc)
+		if err != nil {
+			return children, err
+		}
+
+		if len(children) > 0 {
+			isEmpty = false
+		}
+
+		return children, nil
+	}
+
+	err := Walk(ctx, notEmptyHandler, descs...)
+	if err != nil {
+		return err
+	}
+
+	if isEmpty {
+		return ErrEmptyWalk
+	}
 
 	return nil
 }
diff --git a/import.go b/import.go
index 2ba717448..e2288c4f1 100644
--- a/import.go
+++ b/import.go
@@ -185,7 +185,7 @@ func (c *Client) Import(ctx context.Context, reader io.Reader, opts ...ImportOpt
 
 	handler = images.FilterPlatforms(handler, platformMatcher)
 	handler = images.SetChildrenLabels(cs, handler)
-	if err := images.Walk(ctx, handler, index); err != nil {
+	if err := images.WalkNotEmpty(ctx, handler, index); err != nil {
 		return nil, err
 	}
 
diff --git a/integration/client/import_test.go b/integration/client/import_test.go
index 22d5603a7..ed81d30b4 100644
--- a/integration/client/import_test.go
+++ b/integration/client/import_test.go
@@ -25,6 +25,7 @@ import (
 	"io/ioutil"
 	"math/rand"
 	"reflect"
+	"runtime"
 	"testing"
 
 	. "github.com/containerd/containerd"
@@ -98,7 +99,8 @@ func TestImport(t *testing.T) {
 	empty := []byte("{}")
 	version := []byte("1.0")
 
-	c1, d2 := createConfig()
+	c1, d2 := createConfig(runtime.GOOS, runtime.GOARCH)
+	badConfig, _ := createConfig("foo", "lish")
 
 	m1, d3, expManifest := createManifest(c1, [][]byte{b1})
 
@@ -172,6 +174,17 @@ func TestImport(t *testing.T) {
 				checkManifest(ctx, t, imgs[0].Target, nil)
 			},
 		},
+		{
+			Name: "DockerV2.1-BadOSArch",
+			Writer: tartest.TarAll(
+				tc.Dir("bd765cd43e95212f7aa2cab51d0a", 0755),
+				tc.File("bd765cd43e95212f7aa2cab51d0a/json", empty, 0644),
+				tc.File("bd765cd43e95212f7aa2cab51d0a/layer.tar", b1, 0644),
+				tc.File("bd765cd43e95212f7aa2cab51d0a/VERSION", version, 0644),
+				tc.File("e95212f7aa2cab51d0abd765cd43.json", badConfig, 0644),
+				tc.File("manifest.json", []byte(`[{"Config":"e95212f7aa2cab51d0abd765cd43.json","RepoTags":["test-import:notlatest", "another/repo:tag"],"Layers":["bd765cd43e95212f7aa2cab51d0a/layer.tar"]}]`), 0644),
+			),
+		},
 		{
 			Name: "OCI-BadFormat",
 			Writer: tartest.TarAll(
@@ -302,10 +315,10 @@ func createContent(size int64, seed int64) ([]byte, digest.Digest) {
 	return b, digest.FromBytes(b)
 }
 
-func createConfig() ([]byte, digest.Digest) {
+func createConfig(osName, archName string) ([]byte, digest.Digest) {
 	image := ocispec.Image{
-		OS:           "any",
-		Architecture: "any",
+		OS:           osName,
+		Architecture: archName,
 		Author:       "test",
 	}
 	b, _ := json.Marshal(image)