Alex Pietrangelo scored with 52.2 seconds 2.
Vladimir Sobotka, positioned along the left boards, slid a pass to the front of the net with time winding down in overtime. Pietrangelo gathered the disc and went forehand to backhand before flipping the puck into the net.
Brian Elliot made 31 saves to improve to 8-1-0 on the year.
Marc-Andre Fleury turned aside 40-of-43 shots.