Mikkel Boedker also scored for the Coyotes (10-3-2), who have points in 11 of their last 12 games.
Joe Pavelski and Danny Boyle, who missed the previous seven games with a concussion, scored for the Sharks (10-1-3).
Logan Couture converted the first attempt of the shootout for San Jose. He earlier thought he had the winning goal with 33 seconds left in regulation. However, it was waved off and replays clearly showed the puck never crossed the line.
It was just one of many brilliant saves made by Mike Smith, who stopped 48 shots through overtime. Sharks goalie Antti Niemi made 28 saves.
Life's about opportunity and how you respond to that opportunity, and obviously he must have some swagger about him, some confidence about him, because he was solid. He made some good saves. He was 6-foot-3 on every shot, which is a good thing for a goalie. He played well. We got a win.
— Maple Leafs coach Mike Babcock on rookie goaltender Garret Sparks, who made 24 saves in his first NHL start, a 3-0 win vs. Oilers
TONIGHT ON NHL NETWORK
5:00 ET: NHL Live Powered by Constellation 7:00 ET: NHL Tonight