Jordan Eberle and David Perron scored in the shootout, and Devan Dubnyk come on in relief of injured goalie Ilya Bryzgalov and earned a 3-2 win over the Dallas Stars on Sunday night.
Dubnyk stopped two of three shots in the tiebreaker. Dallas' Kari Lehtonen failed to make a save in the shootout.
Edmonton's Ales Hemsky scored 5 seconds before the second period ended, and Andrew Ference fired in a slap shot with 5:07 remaining in regulation to tie it again.
Ryan Garbutt scored two goals, including a short-handed tally that gave Dallas a 1-0 lead in the second period. He also put the Stars ahead in the third.
Garbutt nearly had a hat trick but he was stopped on a breakaway attempt by Bryzgalov with 3:41 left in the second. Garbutt collided with Bryzgalov, who left with an upper-body injury and didn't return.
Bryzgalov, who made 28 saves, trailed 1-0 when he came out.