Sakic unleashed a slap shot that got past Roberto Luongo and forced overtime. He then joined Marek Svatos with the shootout goals that allowed the Avalanche to conclude a five-game road swing with a 3-1-1 mark.
Colorado moved into a tie with Vancouver and Nashville for seventh place in the Western Conference.
Sakic's tying goal came just 90 seconds after Alexandre Burrows had given Vancouver a 2-1 lead with a tip-in.
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