Police stopped a plane carrying France's rugby team from leaving Edinburgh as a number of players were questioned by officers.
Police Scotland said French rugby players were interviewed as "potential witnesses" on Monday after reports in Scotland's Herald newspaper of an incident at a bar following the French defeat to Scotland in the Six Nations on Sunday.
The plane carrying the France squad was halted by police on the tarmac and several players were taken off.
"Following an initial report of sexual assault in Edinburgh city centre during the early hours of Monday 12th February, police conducted various lines of inquiry, including speaking to a number of potential witnesses," a Police Scotland spokesman said.
"These inquiries have established that no crime has been committed."
The official Rugby France Twitter account earlier tweeted: "The FFR confirms that some players are being heard by the Scottish authorities."
Reports had suggested police became involved after an incident in the Tigerlily bar on Edinburgh's George Street.
Events Manager Jo McKinnell said the French players were in the bar on Sunday evening but that there were no incidents.
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Initial reports in the British and French media suggested there was a brawl at Tigerlily but it is understood police received no such reports involving members of the squad.
The chartered Jet2 flight to Paris was due to take off at 11am but was delayed by two hours before finally taking off at 1pm.