diff --git a/modules/dnn/src/dnn.cpp b/modules/dnn/src/dnn.cpp
index 245a2c5c1d..f03fa20626 100644
--- a/modules/dnn/src/dnn.cpp
+++ b/modules/dnn/src/dnn.cpp
@@ -2196,9 +2196,22 @@ struct Net::Impl : public detail::NetImplBase
                         continue;
 
                     auto ieInpNode = inputNodes[i].dynamicCast<InfEngineNgraphNode>();
-                    CV_Assert(oid < ieInpNode->node->get_output_size());
+                    const auto& ngraph_input_node = ieInpNode->node;
+                    CV_LOG_DEBUG(NULL, "DNN/IE: bind output port " << lid << ":" << oid << " (" << ngraph_input_node->get_friendly_name() << ":" << ngraph_input_node->get_type_info().name << ")");
+
+                    // Handle parameters from other subnets. Output port is not used in this case
+                    if ((ngraph::op::is_parameter(ngraph_input_node) || ngraph::op::is_constant(ngraph_input_node)) &&
+                            ngraph_input_node->get_output_size() == 1)
+                    {
+                        inputNodes[i] = Ptr<BackendNode>(new InfEngineNgraphNode(ngraph_input_node));
+                        continue;
+                    }
+                    CV_CheckLT((size_t)oid, ngraph_input_node->get_output_size(), "");
 #if INF_ENGINE_VER_MAJOR_GT(INF_ENGINE_RELEASE_2020_4)
-                    inputNodes[i] = Ptr<BackendNode>(new InfEngineNgraphNode(ieInpNode->node));
+                    // FIXIT refactor ".initNgraph()" API to use Output<Node>
+                    // WA: use Concat to emulate Identity operation with requested output port
+                    auto oid_node = std::make_shared<ngraph::op::Concat>(ngraph::OutputVector {ngraph_input_node->output(oid)}, 0);
+                    inputNodes[i] = Ptr<BackendNode>(new InfEngineNgraphNode(oid_node));
 #elif INF_ENGINE_VER_MAJOR_GT(INF_ENGINE_RELEASE_2020_3)
                     inputNodes[i] = Ptr<BackendNode>(new InfEngineNgraphNode(ieInpNode->node->get_output_as_single_output_node(oid)));
 #else
diff --git a/modules/dnn/src/ie_ngraph.cpp b/modules/dnn/src/ie_ngraph.cpp
index 6736590161..916f5e0a18 100644
--- a/modules/dnn/src/ie_ngraph.cpp
+++ b/modules/dnn/src/ie_ngraph.cpp
@@ -330,7 +330,7 @@ public:
 InfEngineNgraphNode::InfEngineNgraphNode(std::shared_ptr<ngraph::Node>&& _node)
     : BackendNode(DNN_BACKEND_INFERENCE_ENGINE_NGRAPH), node(std::move(_node)) {}
 
-InfEngineNgraphNode::InfEngineNgraphNode(std::shared_ptr<ngraph::Node>& _node)
+InfEngineNgraphNode::InfEngineNgraphNode(const std::shared_ptr<ngraph::Node>& _node)
     : BackendNode(DNN_BACKEND_INFERENCE_ENGINE_NGRAPH), node(_node) {}
 
 InfEngineNgraphNode::InfEngineNgraphNode(const std::vector<Ptr<BackendNode> >& nodes,
diff --git a/modules/dnn/src/ie_ngraph.hpp b/modules/dnn/src/ie_ngraph.hpp
index 617f1d4542..bb593833ff 100644
--- a/modules/dnn/src/ie_ngraph.hpp
+++ b/modules/dnn/src/ie_ngraph.hpp
@@ -102,7 +102,7 @@ public:
                         std::vector<Mat>& internals);
 
     InfEngineNgraphNode(std::shared_ptr<ngraph::Node>&& _node);
-    InfEngineNgraphNode(std::shared_ptr<ngraph::Node>& _node);
+    InfEngineNgraphNode(const std::shared_ptr<ngraph::Node>& _node);
 
     void setName(const std::string& name);