Backpackers and hostel owners could hold the key to identifying a young man, possibly an international traveller, who was hit by a train and killed in Melbourne's east last month.

More than three weeks after the man, believed to be in his early 20s, died near East Camberwell railway station, police are no closer to establishing his identity and no one has come forward to report him missing.

Senior Constable Leah Bound said the man was believed to have stepped out of an alcove near the railway station at 11am on September 14 into the path of an oncoming train and was killed. Police say his death is not suspicious.

Despite extensive searches, police have been unable to match his description with any missing persons cases in Victoria.