Man remanded on Vic rape, murder charge

A homeless man has been remanded after being charged with raping and killing a woman in a pre-dawn attack in Melbourne's Kings Domain.

Homicide detectives have charged Scott Allen Miller, 42, with one count of murdering 32-year-old Chinese national Yuk Ling Lau and two counts of raping her.

Miller remained alert in the dock during a brief hearing at the Melbourne Magistrates Court on Wednesday.

A large group of Ms Lau's friends attended the hearing.

Ms Lau's body was found by joggers at Kings Domain early on Saturday.

It is believed she was a hospitality worker and was attacked on her way to work.

Miller was arrested near Eden on the NSW far south coast on Monday following a manhunt.

He was extradited to Victoria on Tuesday and was charged in Melbourne that night.

Legal Aid solicitor Sarah Pratt told the court that Miller had suffered a previous drug-induced psychosis and required a prison health assessment.

Magistrate Duncan Reynolds granted a police application to retain forensic samples taken from Miller.

He was remanded to reappear in the Melbourne Magistrates Court on October 24 for a committal mention.