Duchene's goal lifts Avalanche past Lightning 2-1
Ryan O'Reilly also scored for Colorado, which has won a team-record eight straight home games.
Mathieu Garon had 27 saves and Pavel Kubina scored for Tampa Bay.
Duchene got the winner when he sent a shot past Garon from the left side with 1:22 left in the extra session for his team-leading 12th goal of the season.
TJ Galiardi nearly won it late in regulation when he had a short-handed breakaway chance with 1:51 left, but Garon made the save. O'Reilly had a goal waved off with 48 seconds left because he knocked it in with his glove.
Paul Stastny hit the right post with 3:02 left in overtime.
Kubina gave Tampa Bay the lead when he scored his second goal of the season with 1:51 left in the first. Kubina picked up a pass from Lecavalier, used Colorado's David Van Der Gulik as a screen and wristed a shot through Giguere to make it 1-0.
Colorado tied it midway through the second period. O'Brien took a shot from the point that Garon saved but O'Reilly snagged the rebound and flipped it into the net for his eighth goal of the season.
Garon was back in net after being pulled when he allowed three goals in 6:21 against San Jose on Wednesday. He wasn't tested much early with Tampa Bay dominating play at the start. The Lightning outshot Colorado 14-5 in the first and Garon's only test came when he made two saves on the Avalanche's first power play.
Notes: Colorado rookie Brad Malone is cousins with Lightning LW Ryan Malone. ... The Avalanche/Nordiques franchise has won eight straight home games twice previously, in the 1983-84 and `94-95 seasons when the franchise was in Quebec. ... Lightning RW James Wyman played in his first NHL game since Nov. 28, 2009, when he was with Montreal.