The Red Wings let a lead, and victory, slip away late Tuesday.
Anaheim scored a goal with 47 seconds left to force overtime, then a Tyler Bertuzzi turnover in front of the Wings' net led to Ryan Strome's goal, as the Ducks rallied to a 3-2 victory.
Bertuzzi's errant pass was intercepted by Strome, who fed Zegras across the slot, and Zegras passed back to a wide open Strome, who scored his fifth goal.
Anaheim's John Klingberg forced overtime with his first goal at 19:14 of the third period. With the goalie pulled, the Ducks won the draw and worked the puck to Klingberg in the high slot, who sailed a shot past goalie Ville Husso.