diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/BoostTrackBuilding.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/BoostTrackBuilding.hpp
index a6905d5b06c..95d7f10e3b8 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/BoostTrackBuilding.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/BoostTrackBuilding.hpp
@@ -25,7 +25,7 @@ class BoostTrackBuilding final : public Acts::TrackBuildingBase {
   std::vector<std::vector<int>> operator()(
       std::any nodes, std::any edges, std::any edge_weights,
       std::vector<int> &spacepointIDs,
-      torch::Device device = torch::Device(torch::kCPU)) override;
+      const ExecutionContext &execContext = {}) override;
   torch::Device device() const override { return m_device; };
 
  private:
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxEdgeClassifier.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxEdgeClassifier.hpp
index 5682b7e84a9..529e31409d4 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxEdgeClassifier.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxEdgeClassifier.hpp
@@ -35,7 +35,7 @@ class OnnxEdgeClassifier final : public Acts::EdgeClassificationBase {
 
   std::tuple<std::any, std::any, std::any, std::any> operator()(
       std::any nodeFeatures, std::any edgeIndex, std::any edgeFeatures = {},
-      torch::Device device = torch::Device(torch::kCPU)) override;
+      const ExecutionContext &execContext = {}) override;
 
   Config config() const { return m_cfg; }
   torch::Device device() const override { return m_device; };
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxMetricLearning.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxMetricLearning.hpp
index d78139d0732..0a97ab697c3 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxMetricLearning.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/OnnxMetricLearning.hpp
@@ -39,7 +39,7 @@ class OnnxMetricLearning final : public Acts::GraphConstructionBase {
   std::tuple<std::any, std::any, std::any> operator()(
       std::vector<float>& inputValues, std::size_t numNodes,
       const std::vector<std::uint64_t>& moduleIds,
-      torch::Device device = torch::Device(torch::kCPU)) override;
+      const ExecutionContext& execContext = {}) override;
 
   Config config() const { return m_cfg; }
   torch::Device device() const override { return m_device; };
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/Stages.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/Stages.hpp
index 1e35fb08a82..13753713917 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/Stages.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/Stages.hpp
@@ -13,6 +13,7 @@
 #include <exception>
 #include <vector>
 
+#include <c10/cuda/CUDAStream.h>
 #include <torch/torch.h>
 
 namespace Acts {
@@ -20,6 +21,12 @@ namespace Acts {
 /// Error that is thrown if no edges are found
 struct NoEdgesError : std::exception {};
 
+/// Capture the context of the execution
+struct ExecutionContext {
+  torch::Device device{torch::kCPU};
+  std::optional<c10::cuda::CUDAStream> stream;
+};
+
 // TODO maybe replace std::any with some kind of variant<unique_ptr<torch>,
 // unique_ptr<onnx>>?
 // TODO maybe replace input for GraphConstructionBase with some kind of
@@ -34,13 +41,12 @@ class GraphConstructionBase {
   /// then gives the number of features
   /// @param moduleIds Module IDs of the features (used for module-map-like
   /// graph construction)
-  /// @param device Which GPU device to pick. Not relevant for CPU-only builds
-  ///
+  /// @param execContext Device & stream information
   /// @return (node_features, edge_features, edge_index)
   virtual std::tuple<std::any, std::any, std::any> operator()(
       std::vector<float> &inputValues, std::size_t numNodes,
       const std::vector<std::uint64_t> &moduleIds,
-      torch::Device device = torch::Device(torch::kCPU)) = 0;
+      const ExecutionContext &execContext = {}) = 0;
 
   virtual torch::Device device() const = 0;
 
@@ -54,12 +60,12 @@ class EdgeClassificationBase {
   /// @param nodeFeatures Node tensor with shape (n_nodes, n_node_features)
   /// @param edgeIndex Edge-index tensor with shape (2, n_edges)
   /// @param edgeFeatures Edge-feature tensor with shape (n_edges, n_edge_features)
-  /// @param device Which GPU device to pick. Not relevant for CPU-only builds
+  /// @param execContext Device & stream information
   ///
   /// @return (node_features, edge_features, edge_index, edge_scores)
   virtual std::tuple<std::any, std::any, std::any, std::any> operator()(
       std::any nodeFeatures, std::any edgeIndex, std::any edgeFeatures = {},
-      torch::Device device = torch::Device(torch::kCPU)) = 0;
+      const ExecutionContext &execContext = {}) = 0;
 
   virtual torch::Device device() const = 0;
 
@@ -74,13 +80,13 @@ class TrackBuildingBase {
   /// @param edgeIndex Edge-index tensor with shape (2, n_edges)
   /// @param edgeScores Scores of the previous edge classification phase
   /// @param spacepointIDs IDs of the nodes (must have size=n_nodes)
-  /// @param device Which GPU device to pick. Not relevant for CPU-only builds
+  /// @param execContext Device & stream information
   ///
   /// @return tracks (as vectors of node-IDs)
   virtual std::vector<std::vector<int>> operator()(
       std::any nodeFeatures, std::any edgeIndex, std::any edgeScores,
       std::vector<int> &spacepointIDs,
-      torch::Device device = torch::Device(torch::kCPU)) = 0;
+      const ExecutionContext &execContext = {}) = 0;
 
   virtual torch::Device device() const = 0;
 
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchEdgeClassifier.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchEdgeClassifier.hpp
index 4cf92a7115d..e7c1d04e9d6 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchEdgeClassifier.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchEdgeClassifier.hpp
@@ -42,7 +42,7 @@ class TorchEdgeClassifier final : public Acts::EdgeClassificationBase {
 
   std::tuple<std::any, std::any, std::any, std::any> operator()(
       std::any nodeFeatures, std::any edgeIndex, std::any edgeFeatures = {},
-      torch::Device device = torch::Device(torch::kCPU)) override;
+      const ExecutionContext &execContext = {}) override;
 
   Config config() const { return m_cfg; }
   torch::Device device() const override { return m_device; };
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchMetricLearning.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchMetricLearning.hpp
index 9d87e5c59d5..dba7d7f2220 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchMetricLearning.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchMetricLearning.hpp
@@ -44,7 +44,7 @@ class TorchMetricLearning final : public Acts::GraphConstructionBase {
   std::tuple<std::any, std::any, std::any> operator()(
       std::vector<float> &inputValues, std::size_t numNodes,
       const std::vector<std::uint64_t> &moduleIds,
-      torch::Device device = torch::Device(torch::kCPU)) override;
+      const ExecutionContext &execContext = {}) override;
 
   Config config() const { return m_cfg; }
   torch::Device device() const override { return m_device; };
diff --git a/Plugins/ExaTrkX/src/BoostTrackBuilding.cpp b/Plugins/ExaTrkX/src/BoostTrackBuilding.cpp
index 0d75b31cedd..d46bc2f58d5 100644
--- a/Plugins/ExaTrkX/src/BoostTrackBuilding.cpp
+++ b/Plugins/ExaTrkX/src/BoostTrackBuilding.cpp
@@ -48,7 +48,7 @@ namespace Acts {
 
 std::vector<std::vector<int>> BoostTrackBuilding::operator()(
     std::any /*nodes*/, std::any edges, std::any weights,
-    std::vector<int>& spacepointIDs, torch::Device) {
+    std::vector<int>& spacepointIDs, const ExecutionContext& execContext) {
   ACTS_DEBUG("Start track building");
   const auto edgeTensor = std::any_cast<torch::Tensor>(edges).to(torch::kCPU);
   const auto edgeWeightTensor =
diff --git a/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp b/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
index 6a05ae96f8e..d81e94ab342 100644
--- a/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
+++ b/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
@@ -39,11 +39,18 @@ std::vector<std::vector<int>> ExaTrkXPipeline::run(
     std::vector<float> &features, const std::vector<std::uint64_t> &moduleIds,
     std::vector<int> &spacepointIDs, const ExaTrkXHook &hook,
     ExaTrkXTiming *timing) const {
+  ExecutionContext ctx;
+  ctx.device = m_graphConstructor->device();
+#ifndef ACTS_EXATRKX_CPUONLY
+  if (ctx.device.type() == torch::kCUDA) {
+    ctx.stream = c10::cuda::getStreamFromPool(ctx.device.index());
+  }
+#endif
+
   try {
     auto t0 = std::chrono::high_resolution_clock::now();
     auto [nodeFeatures, edgeIndex, edgeFeatures] =
-        (*m_graphConstructor)(features, spacepointIDs.size(), moduleIds,
-                              m_graphConstructor->device());
+        (*m_graphConstructor)(features, spacepointIDs.size(), moduleIds, ctx);
     auto t1 = std::chrono::high_resolution_clock::now();
 
     if (timing != nullptr) {
@@ -59,7 +66,7 @@ std::vector<std::vector<int>> ExaTrkXPipeline::run(
       t0 = std::chrono::high_resolution_clock::now();
       auto [newNodeFeatures, newEdgeIndex, newEdgeFeatures, newEdgeScores] =
           (*edgeClassifier)(std::move(nodeFeatures), std::move(edgeIndex),
-                            std::move(edgeFeatures), edgeClassifier->device());
+                            std::move(edgeFeatures), ctx);
       t1 = std::chrono::high_resolution_clock::now();
 
       if (timing != nullptr) {
@@ -76,8 +83,7 @@ std::vector<std::vector<int>> ExaTrkXPipeline::run(
 
     t0 = std::chrono::high_resolution_clock::now();
     auto res = (*m_trackBuilder)(std::move(nodeFeatures), std::move(edgeIndex),
-                                 std::move(edgeScores), spacepointIDs,
-                                 m_trackBuilder->device());
+                                 std::move(edgeScores), spacepointIDs, ctx);
     t1 = std::chrono::high_resolution_clock::now();
 
     if (timing != nullptr) {
diff --git a/Plugins/ExaTrkX/src/OnnxEdgeClassifier.cpp b/Plugins/ExaTrkX/src/OnnxEdgeClassifier.cpp
index 59452daec09..71cdd0097b5 100644
--- a/Plugins/ExaTrkX/src/OnnxEdgeClassifier.cpp
+++ b/Plugins/ExaTrkX/src/OnnxEdgeClassifier.cpp
@@ -90,7 +90,8 @@ std::ostream &operator<<(std::ostream &os, Ort::Value &v) {
 
 std::tuple<std::any, std::any, std::any, std::any>
 OnnxEdgeClassifier::operator()(std::any inputNodes, std::any inputEdges,
-                               std::any inEdgeFeatures, torch::Device) {
+                               std::any inEdgeFeatures,
+                               const ExecutionContext & /*unused*/) {
   auto torchDevice = torch::kCPU;
   Ort::MemoryInfo memoryInfo("Cpu", OrtArenaAllocator, /*device_id*/ 0,
                              OrtMemTypeDefault);
diff --git a/Plugins/ExaTrkX/src/TorchEdgeClassifier.cpp b/Plugins/ExaTrkX/src/TorchEdgeClassifier.cpp
index b81335ad0a9..3aff05eb4e2 100644
--- a/Plugins/ExaTrkX/src/TorchEdgeClassifier.cpp
+++ b/Plugins/ExaTrkX/src/TorchEdgeClassifier.cpp
@@ -67,17 +67,23 @@ TorchEdgeClassifier::~TorchEdgeClassifier() {}
 
 std::tuple<std::any, std::any, std::any, std::any>
 TorchEdgeClassifier::operator()(std::any inNodeFeatures, std::any inEdgeIndex,
-                                std::any inEdgeFeatures, torch::Device device) {
-  decltype(std::chrono::high_resolution_clock::now()) t0, t1, t2, t3, t4, t5;
+                                std::any inEdgeFeatures,
+                                const ExecutionContext& execContext) {
+  const auto& device = execContext.device;
+  decltype(std::chrono::high_resolution_clock::now()) t0, t1, t2, t3, t4;
   t0 = std::chrono::high_resolution_clock::now();
   ACTS_DEBUG("Start edge classification, use " << device);
   c10::InferenceMode guard(true);
 
   // add a protection to avoid calling for kCPU
-#ifndef ACTS_EXATRKX_CPUONLY
+#ifdef ACTS_EXATRKX_CPUONLY
+  assert(device == torch::Device(torch::kCPU));
+#else
   std::optional<c10::cuda::CUDAGuard> device_guard;
+  std::optional<c10::cuda::CUDAStreamGuard> streamGuard;
   if (device.is_cuda()) {
     device_guard.emplace(device.index());
+    streamGuard.emplace(execContext.stream.value());
   }
 #endif
 
diff --git a/Plugins/ExaTrkX/src/TorchMetricLearning.cpp b/Plugins/ExaTrkX/src/TorchMetricLearning.cpp
index 08088a5d904..57cb271351a 100644
--- a/Plugins/ExaTrkX/src/TorchMetricLearning.cpp
+++ b/Plugins/ExaTrkX/src/TorchMetricLearning.cpp
@@ -69,15 +69,21 @@ TorchMetricLearning::~TorchMetricLearning() {}
 
 std::tuple<std::any, std::any, std::any> TorchMetricLearning::operator()(
     std::vector<float> &inputValues, std::size_t numNodes,
-    const std::vector<std::uint64_t> & /*moduleIds*/, torch::Device device) {
+    const std::vector<std::uint64_t> & /*moduleIds*/,
+    const ExecutionContext &execContext) {
+  const auto &device = execContext.device;
   ACTS_DEBUG("Start graph construction");
   c10::InferenceMode guard(true);
 
   // add a protection to avoid calling for kCPU
-#ifndef ACTS_EXATRKX_CPUONLY
+#ifdef ACTS_EXATRKX_CPUONLY
+  assert(device == torch::Device(torch::kCPU));
+#else
   std::optional<c10::cuda::CUDAGuard> device_guard;
+  std::optional<c10::cuda::CUDAStreamGuard> streamGuard;
   if (device.is_cuda()) {
     device_guard.emplace(device.index());
+    streamGuard.emplace(execContext.stream.value());
   }
 #endif