Ryan Jones and Dustin Penner scored for the Oilers and Nikolai Khabibulin made 30 saves.
Edmonton's four-game winning streak came to an end but the Oilers earned a point for the sixth time in their last seven games.
After a scoreless first period, Koivu scored on a wrist shot at 5:44 of the second period on assists by Selanne and Fowler.
Selanne made it 2-0 at 6:32 of the third period but Edmonton tied the score on goals by Jones at 10:29 and Penner on the power play at 13:39.
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