A 51-year-old man, who was arrested yesterday in connection with the murder, has been released on bail, pending further enquiries.
Detectives have been granted an additional 36 hours to question a 35-year-old woman who was also arrested on suspicion of murder.
Two men aged 26 and 31, who were arrested on suspicion of murder, remain in custody.
Eddie Meenan, 52, was discovered off Creggan Street in Derry in the early hours of Sunday not far from his home in Little Diamond.
The PSNI said Mr Meenan had sustained “significant” head and body injuries.
Detective Chief Inspector John Caldwell, who is leading the investigation, has renewed an appeal for witnesses to come forward and speak to police.