An arrest warrant has been issued for a teenage girl who was allegedly involved in bashing an American doctor and his 17-year-old son who were visting Melbourne for the Australian Open, after she failed to attend court.

The girl, who cannot be identified, had been due to face a children's court on Thursday, accused of being one of a group of five teenagers who were involved in two robberies in Melbourne on the same January night, when Dr Edmund Pribitkin, his teenage son Edik and three German nationals were separately assaulted.

After standing the girl's case down in the hope she would arrive at court, the magistrate issued an arrest warrant for the teenager when it became clear she had failed to turn up. The girl, who was 16 at the time of the alleged offence, was on bail.

Edmund Pribitkin in hospital after the alleged assault. Credit:AP

Police allege Dr Pribitkin and his son,were repeatedly punched, kicked and robbed about 11pm on January 17 in the Queen Victoria Gardens. Dr Pribitkin suffered serious head injuries, while Edik had his nose broken and was concussed.