Striker and late substitute Wissam Ben Yedder bagged the equaliser for Monaco with an 83rd minute volley after a double from Jonathan Davies inside 10 minutes had the home side on the back foot.
Krepin Diatta pulled a goal back for the hosts just before half-time with former Bayern Munchen coach Niko Kovac's charges then climbing to seventh with Ben Yedder's goal.
Nice visit Clermont on Sunday before the clash of the weekend between Lyon and Marseille.