The incident happened at a property in the Robroyston area at about 11.45pm on Tuesday.
Five Arrested In Operation Wolf
Five men have been arrested over a range of separate sexual offences as part of an ongoing police crackdown.
Operation Wolf was launched in Edinburgh last year to tackle domestic abuse and sex crimes, and the arrests were made yesterday.
Two men, aged 56 and 53, from the Wester Hailes area, were charged over historic serious sexual assaults, crimes against children and domestic assaults, police said.
A 59-year-old man was also charged in connection with an indecent exposure. All three are due to appear at Edinburgh Sheriff Court today.
Elsewhere, a 66-year-old man was charged with sexual assault and indecent assault, and a 28-year-old man was charged with assaulting a child.
Both men are due to appear in court at a later date.
Detective Chief Inspector Alwyn Bell said: "We are committed to protecting the public from harm and whenever we receive reports of crimes such as domestic abuse and sexual assault we will carry out a robust investigation to bring those responsible to justice.
"Yesterday's Operation Wolf activity should send a very clear message that no matter how old the offence, we can and will pursue offenders and remove them from our communities.
"I would like to reassure the public that all reports of domestic abuse or sexual crime are taken extremely seriously and acted upon appropriately.
"Anyone who wishes to report a crime of this nature can contact Police Scotland on 101 or make an anonymous report through the charity Crimestoppers on 0800 555 111.''
Aileen Campbell pledged the Scottish Government will bring forward legislation after 82% of those who took part in a consultation backed the change.
Police Scotland's nationwide campaign will work to reduce alcohol-related attacks, weapon use and anti-social behaviour.
Passengers reported long queues in the terminal building and pictures on social media showed the security hall in near darkness.
Most Viewed Pictures On Heart
Recently Played Tracks
To listen live, choose your preferred station:
Now playing: The best feel good music
Deposit £10 to get a £40 Welcome Bonus - That's £50 to play bingo, slots and more!*
Over 50 tracks to make you feel-good. New album out now...
Find your local four day weather report here.
Make Heart the soundtrack to your day and you could be a winner with great prizes up for grabs throughout the day.
Find out more about some of the companies advertising on Heart Scotland- East.