diff --git a/src/common/low_precision_transformations/include/low_precision/propagate_shared_value.hpp b/src/common/low_precision_transformations/include/low_precision/propagate_shared_value.hpp
index 305f63e34f7b63..a88cfc91b066bc 100644
--- a/src/common/low_precision_transformations/include/low_precision/propagate_shared_value.hpp
+++ b/src/common/low_precision_transformations/include/low_precision/propagate_shared_value.hpp
@@ -44,6 +44,14 @@ class ov::pass::low_precision::PropagateSharedValue : public ov::pass::ModelPass
         std::vector<std::shared_ptr<ov::Node>> nodes(f->get_ordered_ops());
         for (auto it = nodes.begin(); it != nodes.end(); it++) {
             const std::shared_ptr<Node> node = *it;
+            if (const auto& multi_subgrah_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+                for (const auto& sub_graph : multi_subgrah_op->get_functions()) {
+                    if (sub_graph) {
+                        run_on_model(sub_graph);
+                    }
+                }
+            }
+
             if (ov::is_type<opset1::FakeQuantize>(node)) {
                 assert(node->get_output_size() == 1ul);
                 auto& outputRtInfo = node->output(0).get_rt_info();
diff --git a/src/common/snippets/src/pass/propagate_precision.cpp b/src/common/snippets/src/pass/propagate_precision.cpp
index 568db74d6a5c0a..73830364a2dfdb 100644
--- a/src/common/snippets/src/pass/propagate_precision.cpp
+++ b/src/common/snippets/src/pass/propagate_precision.cpp
@@ -29,6 +29,14 @@ bool ov::snippets::pass::PropagatePrecision::run_on_model(const std::shared_ptr<
 
     bool was_updated = false;
     for (const auto& op : f->get_ordered_ops()) {
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<ov::op::util::MultiSubGraphOp>(op)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
+            }
+        }
+
         auto type_info = op->get_type_info();
         std::set<ov::element::TypeVector> supported_precisions;
         // TODO: At the moment Softmax is decomposed on Linear IR level.
diff --git a/src/common/transformations/src/transformations/common_optimizations/fused_names_cleanup.cpp b/src/common/transformations/src/transformations/common_optimizations/fused_names_cleanup.cpp
index c3f602ebcacd91..62742290a696b2 100644
--- a/src/common/transformations/src/transformations/common_optimizations/fused_names_cleanup.cpp
+++ b/src/common/transformations/src/transformations/common_optimizations/fused_names_cleanup.cpp
@@ -4,13 +4,24 @@
 
 #include "transformations/common_optimizations/fused_names_cleanup.hpp"
 
+#include <memory>
+
 #include "openvino/cc/pass/itt.hpp"
 #include "transformations/rt_info/fused_names_attribute.hpp"
+#include "transformations/utils/utils.hpp"
 
 bool ov::pass::FusedNamesCleanup::run_on_model(const std::shared_ptr<ov::Model>& f) {
     RUN_ON_FUNCTION_SCOPE(FusedNamesCleanup);
 
     for (auto& node : f->get_ordered_ops()) {
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
+            }
+        }
+
         RTMap& rt_info = node->get_rt_info();
         auto it = rt_info.find(ov::FusedNames::get_type_info_static());
         if (it != rt_info.end()) {
diff --git a/src/common/transformations/src/transformations/common_optimizations/optimize_strided_slice.cpp b/src/common/transformations/src/transformations/common_optimizations/optimize_strided_slice.cpp
index a7599a96fd277e..724cd1a76fac92 100644
--- a/src/common/transformations/src/transformations/common_optimizations/optimize_strided_slice.cpp
+++ b/src/common/transformations/src/transformations/common_optimizations/optimize_strided_slice.cpp
@@ -27,9 +27,11 @@ bool ov::pass::UselessSliceEraser::run_on_model(const std::shared_ptr<ov::Model>
     bool rewritten = false;
     for (auto& node : f->get_ordered_ops()) {
         // Recursively apply transformation for sub-graph based operations
-        if (auto sub_graph_node = std::dynamic_pointer_cast<op::util::SubGraphOp>(node)) {
-            if (auto sub_graph = sub_graph_node->get_function()) {
-                rewritten |= run_on_model(sub_graph);
+        if (const auto& multi_subgraph_node = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+            for (const auto& sub_graph : multi_subgraph_node->get_functions()) {
+                if (sub_graph) {
+                    rewritten |= run_on_model(sub_graph);
+                }
             }
         }
         bool is_slice = ov::is_type<ov::op::v1::StridedSlice>(node) || ov::is_type<ov::op::v8::Slice>(node);
@@ -102,9 +104,11 @@ bool ov::pass::GroupedStridedSliceOptimizer::run_on_model(const std::shared_ptr<
     std::map<ov::Output<Node>, std::vector<planned_slice>> source_to_ss_with_plan;
     for (const auto& node : f->get_ordered_ops()) {
         // Recursively apply transformation for sub-graph based operations
-        if (auto sub_graph_node = std::dynamic_pointer_cast<op::util::SubGraphOp>(node)) {
-            if (auto sub_graph = sub_graph_node->get_function()) {
-                graph_rewritten |= run_on_model(sub_graph);
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    graph_rewritten |= run_on_model(sub_graph);
+                }
             }
         }
         if (auto ss = std::dynamic_pointer_cast<ov::op::v1::StridedSlice>(node)) {
diff --git a/src/common/transformations/src/transformations/common_optimizations/reverse_shape_and_type_infer.cpp b/src/common/transformations/src/transformations/common_optimizations/reverse_shape_and_type_infer.cpp
index b8224184b28731..dcc7c0fd17cf49 100644
--- a/src/common/transformations/src/transformations/common_optimizations/reverse_shape_and_type_infer.cpp
+++ b/src/common/transformations/src/transformations/common_optimizations/reverse_shape_and_type_infer.cpp
@@ -70,6 +70,14 @@ bool ov::pass::ReverseShapeAndTypeInfer::run_on_model(const std::shared_ptr<ov::
     auto ops = f->get_ordered_ops();
     for (auto it = ops.rbegin(); it != ops.rend(); ++it) {
         const auto& op = *it;
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(op)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    is_changed |= run_on_model(sub_graph);
+                }
+            }
+        }
+
         auto output_shape = op->get_output_partial_shape(0);
         auto output_type = op->get_output_element_type(0);
         if (const auto& param = std::dynamic_pointer_cast<ov::op::v0::Parameter>(op)) {
diff --git a/src/common/transformations/src/transformations/control_flow/unroll_tensor_iterator.cpp b/src/common/transformations/src/transformations/control_flow/unroll_tensor_iterator.cpp
index dbddf574292998..583f9d1a036796 100644
--- a/src/common/transformations/src/transformations/control_flow/unroll_tensor_iterator.cpp
+++ b/src/common/transformations/src/transformations/control_flow/unroll_tensor_iterator.cpp
@@ -23,6 +23,14 @@
 bool ov::pass::UnrollTensorIterator::run_on_model(const std::shared_ptr<ov::Model>& f) {
     RUN_ON_FUNCTION_SCOPE(UnrollTensorIterator);
     for (const auto& op : f->get_ops()) {
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(op)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
+            }
+        }
+
         auto sub_graph_op = std::dynamic_pointer_cast<op::util::SubGraphOp>(op);
         if (!sub_graph_op || transformation_callback(sub_graph_op)) {
             continue;
diff --git a/src/common/transformations/src/transformations/init_node_info.cpp b/src/common/transformations/src/transformations/init_node_info.cpp
index efc2627199c723..56cbea98caee46 100644
--- a/src/common/transformations/src/transformations/init_node_info.cpp
+++ b/src/common/transformations/src/transformations/init_node_info.cpp
@@ -17,9 +17,11 @@ bool ov::pass::InitNodeInfo::run_on_model(const std::shared_ptr<ov::Model>& f) {
 
     for (auto& node : f->get_ops()) {
         // Recursively apply transformation for sub-graph based operations
-        if (auto sub_graph_node = std::dynamic_pointer_cast<op::util::SubGraphOp>(node)) {
-            if (auto sub_graph = sub_graph_node->get_function()) {
-                run_on_model(sub_graph);
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
             }
         }
         auto& rtInfo = node->get_rt_info();
diff --git a/src/common/transformations/src/transformations/smart_reshape/lstm_states_broadcast.cpp b/src/common/transformations/src/transformations/smart_reshape/lstm_states_broadcast.cpp
index 0a2340d4620356..0e53e2d2edd2ac 100644
--- a/src/common/transformations/src/transformations/smart_reshape/lstm_states_broadcast.cpp
+++ b/src/common/transformations/src/transformations/smart_reshape/lstm_states_broadcast.cpp
@@ -163,9 +163,13 @@ bool ov::pass::LSTMStatesBroadcast::run_on_model(const shared_ptr<ov::Model>& f)
     bool rewritten = false;
     for (auto& node : f->get_ordered_ops()) {
         // Recursively apply transformation for sub-graph based operations
-        if (const auto& sub_graph_node = dynamic_pointer_cast<ov::op::util::SubGraphOp>(node))
-            if (const auto& sub_graph = sub_graph_node->get_function())
-                rewritten |= run_on_model(sub_graph);
+        if (const auto& multi_subgraph_op = dynamic_pointer_cast<ov::op::util::MultiSubGraphOp>(node)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    rewritten |= run_on_model(sub_graph);
+                }
+            }
+        }
 
         // Case without TI (LSTMCell and Constant are in the same ov::Model)
         if (const auto& lstm_cell = dynamic_pointer_cast<ov::op::v4::LSTMCell>(node))
diff --git a/src/core/src/pass/low_latency.cpp b/src/core/src/pass/low_latency.cpp
index 13a793a10d4de3..361cbbcfabcefc 100644
--- a/src/core/src/pass/low_latency.cpp
+++ b/src/core/src/pass/low_latency.cpp
@@ -259,6 +259,14 @@ bool ov::pass::LowLatency2::run_on_model(const std::shared_ptr<Model>& f) {
 
     ov::SinkVector assigns;
     for (const auto& op : f->get_ordered_ops()) {
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<MultiSubGraphOp>(op)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
+            }
+        }
+
         if (const auto& sub_graph_op = std::dynamic_pointer_cast<SubGraphOp>(op)) {
             int64_t variable_id = 0;
             const auto& func = sub_graph_op->get_function();
diff --git a/src/plugins/intel_cpu/src/transformations/snippets/x64/pass/enforce_precision.cpp b/src/plugins/intel_cpu/src/transformations/snippets/x64/pass/enforce_precision.cpp
index 064db31ed49bef..1e4c8ee76bf8de 100644
--- a/src/plugins/intel_cpu/src/transformations/snippets/x64/pass/enforce_precision.cpp
+++ b/src/plugins/intel_cpu/src/transformations/snippets/x64/pass/enforce_precision.cpp
@@ -30,6 +30,14 @@ bool EnforcePrecision::run_on_model(const std::shared_ptr<ov::Model>& f) {
 
     bool was_updated = false;
     for (const auto& op : f->get_ordered_ops()) {
+        if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(op)) {
+            for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                if (sub_graph) {
+                    run_on_model(sub_graph);
+                }
+            }
+        }
+
         const auto& precisions = get_supported_precisions(op);
 
         if (precisions.empty()) {
diff --git a/src/plugins/intel_cpu/src/utils/print_model.hpp b/src/plugins/intel_cpu/src/utils/print_model.hpp
index 4f15a136f5d54c..de1539eaf7e03c 100644
--- a/src/plugins/intel_cpu/src/utils/print_model.hpp
+++ b/src/plugins/intel_cpu/src/utils/print_model.hpp
@@ -402,6 +402,16 @@ class OPENVINO_API PrintModel : public ov::pass::ModelPass {
         if (m_file_name.empty())
             return false;
 
+        for (auto& node : model->get_ordered_ops()) {
+            if (const auto& multi_subgraph_op = std::dynamic_pointer_cast<op::util::MultiSubGraphOp>(node)) {
+                for (const auto& sub_graph : multi_subgraph_op->get_functions()) {
+                    if (sub_graph) {
+                        run_on_model(sub_graph);
+                    }
+                }
+            }
+        }
+
         std::ofstream ofs(m_file_name);
         if (!ofs) {
             // OPENVINO_WARN << "Error opening file " << m_file_name << " for output" << std::endl;