The French club have revealed they have had an offer for the midfielder submitted to them from an English side, with the Gunners heavily linked to his signature over the summer
An as yet unnamed club have put forth an offer for the 22-year-old in an attempt to bring him to England's top-flight.
M'Vila has been heavily linked with a move to Arsenal in recent times, but Gunners boss Arsene Wenger ruled out any chance of the Amiens-born player making his way to the Emirates back in July.
Chairman Frederic de Saint-Sernin has confirmed an official bid for the France international has been received by Rennes, but a decision on the youngster's future has yet to be decided.
"He has a very concrete offer from England," Saint-Sernin told Canal+ after his side’s opening day loss to Lyon on Saturday.
M'Vila joined the Ligue 1 outfit aged 15, and has made 110 first-team appearances for the French club since making his professional debut in 2009.