diff --git a/grpc/grpc.go b/grpc/grpc.go
index 496536e..b83a485 100644
--- a/grpc/grpc.go
+++ b/grpc/grpc.go
@@ -117,12 +117,14 @@ func (mi *ModuleInstance) stream(c goja.ConstructorCall) *goja.Object {
 
 	p.SetSystemTags(mi.vu.State(), client.addr, methodName)
 
+	logger := mi.vu.State().Logger.WithField("streamMethod", methodName)
+
 	s := &stream{
 		vu:               mi.vu,
 		client:           client,
 		methodDescriptor: methodDescriptor,
 		method:           methodName,
-		logger:           mi.vu.State().Logger,
+		logger:           logger,
 
 		tq: taskqueue.New(mi.vu.RegisterCallback),
 
diff --git a/grpc/stream.go b/grpc/stream.go
index 54b6034..e89eaf4 100644
--- a/grpc/stream.go
+++ b/grpc/stream.go
@@ -234,12 +234,7 @@ func (s *stream) writeData(wg *sync.WaitGroup) {
 
 				err := s.stream.Send(msg.msg)
 				if err != nil {
-					s.logger.WithError(err).Error("failed to send data to the stream")
-
-					s.tq.Queue(func() error {
-						return s.closeWithError(err)
-					})
-
+					s.processSendError(err)
 					return
 				}
 
@@ -284,6 +279,17 @@ func (s *stream) writeData(wg *sync.WaitGroup) {
 	}
 }
 
+func (s *stream) processSendError(err error) {
+	if errors.Is(err, io.EOF) {
+		s.logger.WithError(err).Debug("skip sending a message stream is cancelled/finished")
+		err = nil
+	}
+
+	s.tq.Queue(func() error {
+		return s.closeWithError(err)
+	})
+}
+
 // on registers a listener for a certain event type
 func (s *stream) on(event string, listener func(goja.Value) (goja.Value, error)) {
 	if err := s.eventListeners.add(event, listener); err != nil {
@@ -323,10 +329,19 @@ func (s *stream) end() {
 }
 
 func (s *stream) closeWithError(err error) error {
+	s.close(err)
+
+	return s.callErrorListeners(err)
+}
+
+// close changes the stream state to closed and triggers the end event listeners
+func (s *stream) close(err error) {
 	if s.state == closed {
-		return nil
+		return
 	}
 
+	s.logger.WithError(err).Debug("stream is closing")
+
 	s.state = closed
 	close(s.done)
 	s.tq.Queue(func() error {
@@ -336,24 +351,24 @@ func (s *stream) closeWithError(err error) error {
 	if s.timeoutCancel != nil {
 		s.timeoutCancel()
 	}
-
-	s.logger.WithError(err).Debug("connection closed")
-
-	if err != nil {
-		if errList := s.callErrorListeners(err); errList != nil {
-			return errList
-		}
-	}
-
-	return nil
 }
 
 func (s *stream) callErrorListeners(e error) error {
+	if e == nil {
+		return nil
+	}
+
 	rt := s.vu.Runtime()
 
 	obj := extractError(e)
 
-	for _, errorListener := range s.eventListeners.all(eventError) {
+	list := s.eventListeners.all(eventError)
+
+	if len(list) == 0 {
+		s.logger.Warnf("no handlers for error registered, but an error happened: %s", e)
+	}
+
+	for _, errorListener := range list {
 		if _, err := errorListener(rt.ToValue(obj)); err != nil {
 			return err
 		}