Tampa Bay escaped the first period with a one-goal lead despite being outshot 16-8, then erupted for three straight goals and outshot Dallas 21-4 in the second for a 5-2 win at Rogers Place in Edmonton.
The Lightning took the lead in the best-of-7 series with Game 4 in Edmonton, the hub city for the Cup Final, on Friday (8 p.m. ET; NBC, CBC, SN, TVAS).
"It's hard to play perfect all the time," Tampa Bay coach Jon Cooper said. "Give Dallas credit; they pushed and our goalie (Andrei Vasilevskiy) made some saves. We were just really disappointed when we went in the room with how we played that period, although the last few minutes kind of went back to what we do well.
"That's what great, the boys go in that room and it's not a one-man show dictating what we have to do, it's everybody. Everybody is really committed to the plan, but they're really communicating it to each other in the room. We've had some down times, but the positivity in our room and the confidence has been exceptional. It was pretty impressive what the boys did in the second period. If you want to get as far as we are now, you have to do those type of things. You have to rebound, and that's what they did."