Chee Gang Goh, 28, known as Issac, was found lying in a common close of a block of flats in Port Dundas, Glasgow, last Monday.
Police launched a murder inquiry following a post-mortem examination.
A 49 year-old man and a 20 year-old woman were today being held in police custody in connection with his death and were expected to appear in court tomorrow.
Police questioned more than 100 motorists and pedestrians earlier this week to try and find out what happened.
A report will be submitted to the procurator fiscal, officers said.