The 33-year-old victim was forced into the close by a man who got out of a car before he and two other men attacked her.
The woman had been walking along Edinbeg Avenue in Toryglen, Glasgow, between midnight and 3am on Saturday.
Police said a man got out of a light-coloured car, forcing her into a common close at or around 19 Edinbeg Avenue. The man and two other men, whom the victim believed had also been in the car, then raped her.
Detective chief inspector Sharon MacGregor said: “Extensive inquiries are taking place by a team of dedicated officers and we are carrying out door-to-door inquiries and checking all available CCTV in order to trace the men responsible for this assault.
“I would appeal to anyone who saw or heard a disturbance in Edinbeg Avenue in the early hours of Saturday to contact police.
“I would also ask anyone who saw three Asian men in a light-coloured car, possibly white or silver, and which may be a BMW or similar make, in the area around Edinbeg Avenue to contact officers.”
DCI MacGregor said the woman had been visiting members of her extended family in the area before returning to an address nearby.
The victim managed to make her way home following the attack and police were contacted the next morning.
The woman did not require hospital treatment, but has been left extremely distressed by the incident, police said.
The three suspects are described as Asian and in their 20s.
Chief inspector Carol McGuire, area commander, said: “I would like to reassure the public that we have and will continue to have extra uniform patrols in the area and anyone with any concerns should speak to an officer.
“A crime of this nature is very rare in what is a tight-knit community.”
Anyone with any information which can help the inquiry is asked to call 101. Alternatively, information can be passed anonymously to Crimestoppers on 0800 555 111.