Mark Giordano scrapped with J.T. Brown in the first period, which was his first fight of the year. The tussle was spurred on by a big open ice hit on Nikita Kucherov.
After two scoreless periods, the Flames notched the first goal of the game 72 seconds into the third stanza. Dennis Wideman took a pass from Johnny Gaudreau on the power play and roofed it on Evgeni Nabokov.
With his assist on the opening goal, Johnny Gaudreau picked up his third point in the past two games.
With 2:16 left in regulation, Valtteri Filppula tied the game up at 1-1, sending it to overtime.
Ondrej Palat scored the game winner, icing a 2-1 OT win for the Lightning.
TJ Brodie led all skaters with five blocked shots.