diff --git a/python/langsmith/__init__.py b/python/langsmith/__init__.py
index f99632466..851939713 100644
--- a/python/langsmith/__init__.py
+++ b/python/langsmith/__init__.py
@@ -21,7 +21,7 @@
 
 # Avoid calling into importlib on every call to __version__
 
-__version__ = "0.4.31"
+__version__ = "0.4.32"
 version = __version__  # for backwards compatibility
 
 
diff --git a/python/langsmith/wrappers/_openai_agents.py b/python/langsmith/wrappers/_openai_agents.py
index dc0870f27..a799ae74b 100644
--- a/python/langsmith/wrappers/_openai_agents.py
+++ b/python/langsmith/wrappers/_openai_agents.py
@@ -97,6 +97,7 @@ class RunData(TypedDict):
         dotted_order: str
         parent_run_id: Optional[str]
         project_name: Optional[str]
+        name: Optional[str]
 
     class OpenAIAgentsTracingProcessor(tracing.TracingProcessor):  # type: ignore[no-redef]
         """Tracing processor for the `OpenAI Agents SDK <https://openai.github.io/openai-agents-python/>`_.
@@ -211,6 +212,7 @@ def on_trace_start(self, trace: tracing.Trace) -> None:
                 dotted_order=dotted_order,
                 parent_run_id=parent_run_id,
                 project_name=project_name,
+                name=run_name,
             )
 
             run_extra = {"metadata": self._metadata or {}}
@@ -285,6 +287,20 @@ def on_span_start(self, span: tracing.Span) -> None:
                 run_id=span_run_id,
                 parent_dotted_order=parent_run["dotted_order"] if parent_run else None,
             )
+            run_name = agent_utils.get_run_name(span)
+            if isinstance(span.span_data, tracing.ResponseSpanData):
+                parent_name = parent_run.get("name")
+                raw_span_name = getattr(span, "name", None) or getattr(
+                    span.span_data, "name", None
+                )
+                span_name = str(raw_span_name) if raw_span_name else run_name
+                if parent_name:
+                    run_name = f"{parent_name} {span_name}".strip()
+                else:
+                    run_name = span_name
+            run_type = agent_utils.get_run_type(span)
+            extracted = agent_utils.extract_span_data(span)
+
             self._runs[span.span_id] = RunData(
                 id=span_run_id,
                 trace_id=trace_id,
@@ -292,12 +308,9 @@ def on_span_start(self, span: tracing.Span) -> None:
                 dotted_order=dotted_order,
                 parent_run_id=parent_run["id"],
                 project_name=parent_run["project_name"],
+                name=run_name,
             )
 
-            run_name = agent_utils.get_run_name(span)
-            run_type = agent_utils.get_run_type(span)
-            extracted = agent_utils.extract_span_data(span)
-
             try:
                 run_data: dict = dict(
                     name=run_name,
diff --git a/python/pyproject.toml b/python/pyproject.toml
index 0762b0f63..f3d868a4c 100644
--- a/python/pyproject.toml
+++ b/python/pyproject.toml
@@ -4,7 +4,7 @@ build-backend = "hatchling.build"
 
 [project]
 name = "langsmith"
-version = "0.4.31"
+version = "0.4.32"
 description = "Client library to connect to the LangSmith LLM Tracing and Evaluation Platform."
 authors = [
     {name = "LangChain", email = "support@langchain.dev"},
diff --git a/python/uv.lock b/python/uv.lock
index 2b9b96b1e..67ddefba5 100644
--- a/python/uv.lock
+++ b/python/uv.lock
@@ -724,7 +724,7 @@ wheels = [
 
 [[package]]
 name = "langsmith"
-version = "0.4.31"
+version = "0.4.32"
 source = { editable = "." }
 dependencies = [
     { name = "httpx" },