The 24-year-old victim was subjected to a serious sexual assault by two men in Dixon Road, in the city's Govanhill area, in the early hours of 19 May.
Police Scotland launched a high-profile inquiry after the incident.
The force said two men, aged 28 and 29, had been reported to prosecutors following the inquiry.
Two men have been reported to the procurator fiscal over the alleged rape of a woman in the south side of Glasgow earlier this year.