The 19-year-old was targeted in a grassy area at West Princes Street and Queen's Crescent.
Police investigating the assault at 11.15pm on Thursday say they are pursuing a particular line of in-quiry. A spokeswoman said: "Police inquiries are continuing foll-owing a report of a serious sexual assault on a 19-year-old woman at West Princes Street and Queen's Crescent.
"Police are following a definite line of inquiry."
The attack comes just days after a woman returning from a fancy dress party was dragged into bushes and raped in the city's South Side.
Officers are appealing for information nearly a week after the 35-year-old, dressed as a bride, was attacked as she walked through the car park at Bridge Street.
She managed to make her way to the main road were she flagged down a passing taxi and a couple who stopped to help.
The rape, in the Gorbals, near to Norfolk Street last Sunday at 2.30am, left the woman with cuts and bruises.
She was dressed as a bride in a full white wedding dress and veil when she was pulled into bushes and attacked.
Officers stepped up patrols in the area following the assault in a bid to reassure locals.
The attacker, who was described as white, Scottish, with dark hair and wearing dark cloth-ing, ran off towards Eglinton Street.
A second couple, also in fancy dress, were spotted on CCTV in the car park at the time of the attack.
Police hope they will come forward.
The Police Scotland spokeswoman added: "Inquiries are still on going in this case and we would ask anyone with information to come forward."