Police say they have now "concluded" their investigation into a reported rape near Ainslie Park in Pilton.
They add that "no criminality" has been established and they'll be taking no further action.
A cycle path close to the East Pilton Farm area was cordoned off for most of Monday as police investigated reports a man had been seriously sexually assaulted.
On Monday afternoon they said that their enquiries were ongoing.
However Police Scotland have now confirmed that they'll not be investigating any further, before thanking the public for their assistance.
A spokesperson said: "Following the report of a serious sexual assault in the Pilton area of Edinburgh in the early hours on Monday, 28 October, detectives have carried out a thorough investigation and inquiries have concluded, with no criminality established.
"No further police action is required.
"Officers would like to thank the public for their co-operation to allow investigations to take place."
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