The Sharks ran their season-starting record to 7-0 and are the only team in the NHL without a loss.
Edmonton rallied from a 2-0 deficit to earn a point, but the Oilers could not put one past Antti Niemi in the shootout. Niemi made 28 saves in regulation time while Devan Dubnyk stopped 36 shots.
Edmonton had won its previous two games.
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