France suffered a defeat to Scotland in the Six Nations on Sunday, and the plane carrying the players on their return to France was reportedly halted on the tarmac so that police could speak to several players.
The eight players partied in an Edinburgh nightclub and have been carpeted for their "inappropriate behaviour".
The French rugby team's plane was delayed during the questioning, leaving two hours after the scheduled 11:00 GMT departure time.
Those omitted from the 31-man squad for the match on February 23 in Marseille are Teddy Thomas, Louis Picamoles, Arthur Iturria, Anthony Belleau, Jonathan Danty, Sekou Macalou, Remi Lamerat and Felix Lambey.
Scottish police questioned players at Edinburgh Airport after a report of a sexual assault during the night out but found no crime had been committed.More news: Iran claims environmentalist who died in prison was Mossad agent
France have run into a spot on bother in Scotland, with news emerging their flight has been grounded by police in Edinburgh.
The alleged incident occurred hours after Les Bleus had lost a pulsating encounter 32-26 against Scotland at Murrayfield - their second defeat of this campaign.
"These inquiries established no crime has been committed".
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.
A report in Scotland's Herald newspaper said members of the squad were held by police following reports of an incident in an Edinburgh bar.