It was the first NHL start and second NHL game for Postava. The 24-year-old made his NHL debut last Thursday, stopping seven of eight shots after he replaced John Gibson to begin the third period of a 5-2 win against the Vancouver Canucks.
Viktor Arvidsson had a goal and an assist, and Lucas Raymond had two assists for the Red Wings (5-4-3), who finished their four-game road trip 2-1-1.
Raymond scored the lone goal in the shootout for Detroit.
Colton Dach had a goal and an assist, and Vasily Podkolzin and Isaac Howard also scored for the Oilers (8-2-2), who have lost two straight (0-1-1) after winning three in a row. Tristan Jarry made 26 saves. Connor McDavid had an assist to extend his season-opening point streak to 12 games.
Podkolzin put the Oilers ahead 1-0 at 6:10 of the first period, when a centering pass by Leon Draisaitl bounced into the slot and took a double deflection off Podkolzin's skate and then the skate of Red Wings forward Carter Mazur before going in.
Arvidsson tied it 1-1 on the power play at 8:35 of the second period, taking a cross-ice pass from Raymond in the left face-off circle, and one-timing it past Jarry’s stick.
Howard gave Edmonton a 2-1 lead while on the power play at 4:18 of the third period. He one-timed a feed from Kasperi Kapanen over a sprawling Postava from the right circle for his first goal since Oct. 28, 2025.
Emmitt Finnie tied it 2-2 just 30 seconds later at 4:48 after Arvidsson dug the puck out from behind the net and slid it in front for to Finnie for the putaway past Jarry's right pad.
Dach put the Oilers back in front 3-2 at 16:32, tipping a slap shot from the point by Ryan Shea past Postava for his first goal of the season. The goal was confirmed after a video review for a possible high stick.
With Postava pulled for the extra attacker, Dylan Larkin tied it 3-3 at 18:34. He took a pass into his skates from Raymond, kicked the puck up to his stick and slipped it between Jarry’s pads.
Postava stopped Evan Bouchard's wrist shot from the slot with nine seconds remaining in overtime to keep the game tied.
Edmonton forward Zach Hyman left the game at 7:36 of the second period after he was hit by Detroit defenseman Andreas Englund and his head made contact with the glass.