A 48-year-old woman was said to have been sexually assaulted at around 11pm last night in the area of Craigour Place and the high flats at Little France.
A heavy police presence has been in the area since the early hours of this morning with enquiries ongoing to ascertain where the offence took place.
A wide police cordon remains in place at this time.
A Police Scotland spokesman said: “Police in Edinburgh are investigating a report of serious sexual assault on a 48-year-old woman in the area of Craigour Place and the high flats at Little France.
“The incident happened around 11pm on Thursday 31st May.
“Inquiries are continuing.”