diff --git a/monai/apps/auto3dseg/auto_runner.py b/monai/apps/auto3dseg/auto_runner.py
index 57d3b6c014..fcd76e02a0 100644
--- a/monai/apps/auto3dseg/auto_runner.py
+++ b/monai/apps/auto3dseg/auto_runner.py
@@ -281,7 +281,7 @@ def __init__(
         # determine if we need to analyze, algo_gen or train from cache, unless manually provided
         self.analyze = not self.cache["analyze"] if analyze is None else analyze
         self.algo_gen = not self.cache["algo_gen"] if algo_gen is None else algo_gen
-        self.train = not self.cache["train"] if train is None else train
+        self.train = train
         self.ensemble = ensemble  # last step, no need to check
 
         self.set_training_params()
@@ -758,7 +758,8 @@ def run(self):
             logger.info("Skipping algorithm generation...")
 
         # step 3: algo training
-        if self.train:
+        auto_train_choice = self.train is None
+        if self.train or (auto_train_choice and not self.cache["train"]):
             history = import_bundle_algo_history(self.work_dir, only_trained=False)
 
             if len(history) == 0:
@@ -767,10 +768,15 @@ def run(self):
                     "Possibly the required algorithms generation step was not completed."
                 )
 
-            if not self.hpo:
-                self._train_algo_in_sequence(history)
-            else:
-                self._train_algo_in_nni(history)
+            if auto_train_choice:
+                history = [h for h in history if not h["is_trained"]]  # skip trained
+
+            if len(history) > 0:
+                if not self.hpo:
+                    self._train_algo_in_sequence(history)
+                else:
+                    self._train_algo_in_nni(history)
+
             self.export_cache(train=True)
         else:
             logger.info("Skipping algorithm training...")
@@ -798,4 +804,4 @@ def run(self):
                     self.save_image(pred)
                 logger.info(f"Auto3Dseg ensemble prediction outputs are saved in {self.output_dir}.")
 
-        logger.info("Auto3Dseg pipeline is complete successfully.")
+        logger.info("Auto3Dseg pipeline is completed successfully.")
diff --git a/monai/apps/auto3dseg/utils.py b/monai/apps/auto3dseg/utils.py
index 67cde64a2c..feadc08808 100644
--- a/monai/apps/auto3dseg/utils.py
+++ b/monai/apps/auto3dseg/utils.py
@@ -47,11 +47,14 @@ def import_bundle_algo_history(
         if isinstance(algo, BundleAlgo):  # algo's template path needs override
             algo.template_path = algo_meta_data["template_path"]
 
+        best_metrics = "best_metrics"
+        is_trained = best_metrics in algo_meta_data
+
         if only_trained:
-            if "best_metrics" in algo_meta_data:
-                history.append({name: algo})
+            if is_trained:
+                history.append({name: algo, "is_trained": is_trained, best_metrics: algo_meta_data[best_metrics]})
         else:
-            history.append({name: algo})
+            history.append({name: algo, "is_trained": is_trained, best_metrics: algo_meta_data.get(best_metrics, None)})
 
     return history