A Georgia penalty denied France a first win of the group stage as they finished 1-1 against the underdogs.
Although Germany have qualified, second place in Group A is up for grabs as these two sides plus Iceland will closely contest the final qualification position in the final matchday.
Jean-Claude Giutini had an early effort for France but was unable to take advantage.
Georgia’s breakthrough came when Davit Jikia raced on to a lofted ball forward and a clumsy challenge from the hastily retreating Franck Bambock resulted in a penalty. Up stepped Chiaber Chechelashvili to roll in the opener.
Thomas Lemar came on as a substitute and almost got France back into the game immediately but his efforts were prevented by the finish of his teammate Hervin Ongenda as Lemar slipped a ball into him.
Controlling possession and forcing a raft of corners, France were knocking on the door, and on 67 minutes it opened. A ball into the box was headed out and the lurking Lemar showed terrific technique to fire a first-time volleyed effort low into the bottom-right corner.
Les Bleus hunted a winner for large periods after the goal but will be happy with a point that sees it all open in the final game where they will play Germany, who have nothing to play for as they have already won the group.