The body of Luke Jon Telega was discovered by a garbage contractor about 9am on Monday, behind a hairdresser and Salvation Army store on Percy Street in Bellerive, Hobart.
Mr Telega was last seen alive at 10pm on Saturday, but police said there was a significant gap in the timeline leading up to the discovery of his body.
The area at the back of the shops is known to be frequented by people sleeping rough.
CCTV footage has led police to identify two people of interest, including a woman captured standing outside a shopfront on Percy Street at 7.50pm on Sunday.
She may have spoken with someone on the street at the time and was seen driving what is believed to be a light-coloured Toyota Prado.
Police have identified another woman, who was seen on Percy Street at 8.05pm on Sunday. She was driving a red SUV.
Detectives returned to the scene on Tuesday, speaking with members of the public and conducting further door-knocks at nearby homes and businesses.
"An autopsy was conducted (on Tuesday) and details of this will not be released to the public. Â However, police have confirmed there were no visible signs of injury," police said.
"Police continue to maintain an open mind and treat the death as a case of misadventure, or foul play, or a potential combination of both."
Detectives are urging anyone who was in the areas of Percy Street, Scott Street, or Cambridge Road between Sunday night and Monday morning and who may have seen someone on foot or riding a bicycle, to come forward.
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