Homeless woman, 25, whose body was found near tennis courts is identified

Police gather at Royal Park Parkville where a woman was found dead on Saturday morning

A message on a bouquet of flowers laid at the site where Courtney Herron's body was found in Royal Park, Melbourne.

Investigators are still working to piece together Ms Herron's movements and lead them to her killer, who remains on the run.

She was homeless and hadn't been seen since May 14 at St Albans.

On Sunday, Detective Inspector Andrew Stamper told the media that Herron was the victim of a vicious physical attack.

At the time of her death, Ms Herron was wearing a light brown sleeveless vest jacket, a black hoodie, black trackpants, black runners and a blue singlet top.

"We as a community should be protecting these people and we didn't".

There are no suspects at this stage and police are urging anyone with information to come forward as investigations continue.

A heightened police presence remain at the park, patrolling the area to ensure the public feel safe.

Aiia Maasarwe was found dead in Melbourne in January.

Homicide Squad detectives arrested and interviewed a 27-year-old man on Sunday and charged him overnight with one count of murder.

"This is a bad tragedy", Mr Andrews told reporters on Sunday.

Eurydice Dixon's body was found on June 12 previous year at nearby Prince's Park, while global student Aiia Maasarwe, 21, suffered a similar fate after being attacked on her walk home near La Trobe University on January 15.

'We get impacted as much as anyone else in the community'.

Insp Stamper said she had been in sporadic contact with her family and there were "a lot of people out there who knew and loved Courtney".

A large section of the park has been cordoned off between the Tennis Club and the Flemington Road Cricket Oval and declared a crime scene.

The park is a short distance from Princes Park, where aspiring comedian Eurydice Dixon's body was found on June 12 previous year.

Police were unable to confirm if the attack on Herron was random or sexually motivated, however both of these possibilities are being investigated.

'It's very bad ... it's pretty confronting, ' he told the ABC.