Mbappe, who came on as a substitute after the break, found the back of the net with a shot into the top corner seven minutes from time to cancel out Andreas Weimann’s first-half opener.
France laid on a siege of the hosts’ goal in Vienna as the clock ticked down, Patrick Pentz in the Austria goal turning a slick run and finish by Mbappe onto the crossbar before a snapshot save denied Matteo Guendouzi’s late effort from a corner.
Les Bleus are bottom of Group 1 with two points from three games, four behind leaders Denmark.
In the other game, an opportunist second-half goal from Mario Pasalic gave Croatia a 1-0 away win in Copenhagen as Luka Modric came off the bench to turn the game around for the visitors.
The best chance of the first half fell to Denmark’s Andreas Cornelius who had a goal ruled out just before the break when full-back Joakim Maehle was deemed to have committed a foul in the build-up.
Following the half-time introduction of Modric, he took the corner that was worked into the box for Pasalic to pounce on for the only goal of the game, slotting the ball through the legs of keeper Kasper Schmeichel.
Additional reporting by Reuters.
