Police are searching for a man who allegedly assaulted a female French backpacker in a Melbourne hostel.

Victoria Police officers said the woman, 28, was staying at a King Street hostel when she was followed into a bathroom and punched in the face and kicked several times.

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The tourist was left with a broken nose and arm.

Melbourne Crime Investigation Unit detectives believed the man was a past guest at the establishment, but was not known to the victim.

Police have released an image of a man who could assist with their inquiries into the August 28 incident.

Anyone with any information is urged to contact Crime Stoppers on 1800 333 000 or submit a confidential crime report at www.crimestoppersvic.com.au.