Olympique Lyon have tried to prise Victor Lindelof away from Manchester United this month.
RMC says Lyon launched a bid for the Sweden defender last week.
However, United turned down the offer with the English giants failing to find a new centre-half signing.
The French transfer window still has over a fortnight to run, but United are unlikely to consider any new offer from OL for Lindelof.
The defender started in Friday's win against Leicester City.