A Melbourne man has been charged with the murder of teenager Masa Vukotic, as well as six other charges, including rape and assault, after an alleged serious crime spree on Thursday morning.

The girl's body was found near a footbridge in Koonung Creek Linear Reserve in Stanton Street in Doncaster on Tuesday night.

Neighbours called triple-0 after they heard screaming, but paramedics were unable to revive the girl, who had been stabbed in the upper body.

Sean Christian Price, a 31-year-old man from Albion, faced an out-of-sessions court hearing on Thursday night after being questioned by police.

He was barefoot, handcuffed and wearing blue prison overalls. He was not represented by a lawyer.

The accused joked with the bail justice when he was asked whether he was born in 1952, a reference to an error on the court documents.

"I must look pretty good for my age," he said.

At the hearing Price was also charged with one count of rape, two counts of robbery and three counts of assault over a violent crime spree in Sunshine earlier in the day.

Police allege he assaulted a 26-year-old man on a footbridge at 10:00am before stealing his mobile phone.

It is alleged he then attempted unsuccessfully to carjack a vehicle belonging to a 77-year-old man on McCracken Street before fleeing on foot.

Price is then accused of going into a business on Harvester Road about 11.20am where he approached a woman and allegedly became violent before physically and sexually assaulting her.

He was remanded in custody and will appear in the Melbourne Magistrates Court on Friday.

School, community remembers Masa Vukotic

A growing floral tribute has been left at the park where Ms Vukotic died on Tuesday night.

Police said her family, who moved to Australia from Montenegro, asked for privacy.

Dr Mary Cannon, the principal of Canterbury Girls' Secondary College where the teenager was studying VCE, said the school was shocked and devastated by the tragedy.

"Masa was a very popular and respected student who had close friendships with many students," Dr Cannon said in a statement.

"Our thoughts and wishes are with Masa's family at this incredibly difficult time."

Thousands of people joined a tribute page established on social media in honour of the teenager, with hundreds of people leaving messages of condolence to her family.