Ondrej Palat scored in overtime as the Lightning rallied past multiple deficits and Tyler Bertuzzi's career-high four goals to beat the Red Wings.
Tyler Bertuzzi scored a career-high four goals, including three in the second period, to help the Red Wings take a three-goal lead three times.
The two-time defending Stanley Cup champions, who were routed 6-2 in their opener by Pittsburgh, rallied to avoid opening a season with two losses for the first time since 2009. Red Wings captain Dylan Larkin scored the game's first goal early in the first period. Larkin's night ended midway through the second period with a match penalty for retaliating to Mathieu Joseph's check from behind into the boards by punching him in the face.
Bertuzzi scored his fourth goal early in the third and Vladislav Namestnikov had a goal midway through the period to give the Red Wings a three-goal cushion that wasn't large enough.