DALLAS -- Being the subject of trade rumors has not slowed down Martin St. Louis.
The Lightning had lost five of their previous seven games, including a 3-2 loss to Nashville on Thursday.
Tampa Bay coach Jon Cooper said he wasn't thinking about that game when Dallas cut a 3-0 second-period deficit to 3-2. The Lightning won despite being outshot 41-21.
"Clearly we were under siege for the second half of that second period, but I thought our goalie stood tall. Guys committed to blocking shots and kept pucks out."
The 38-year-old St. Louis has been the subject of trade rumors, but with the Lightning fourth in the NHL's Eastern Conference, they might not want to send away their scoring leader.
"That kid comes to play, and that's what you want in a player," Cooper said. "And all this speculation of him being moved or asking for a trade, that doesn't come into one spot of our locker room of trying to win a hockey game.
"We needed four goals to win tonight, and he had two of them. You need that from one of your go-to guys."
Goalie Ben Bishop cooled off Dallas by making 39 saves for his 29th win.
"He's a big man," Fiddler said of the 6-foot-7 Bishop. "He covers a lot of the net. He made some big saves."
The four goals allowed by Stars goalie Kari Lehtonen were his most in 12 games, since a 4-3 loss to Colorado Jan. 27. He made 17 saves.
The Stars, who had been 7-1-2 in their previous 10 games, remained eighth in the Western Conference.
St. Louis scored just 1:25 into the game. Eric Brewer sent a shot from the slot wide right, but the puck hit St. Louis' left leg and deflected into the near side of the net past Lehtonen.
The Lightning had another chance on a 2-on-1 rush 7 minutes later, but Lehtonen deflected Ryan Malone's shot away into the left corner.
At 12:09, Thompson gave Tampa Bay a 2-0 lead by deflecting Hedman's drive from the left point over Lehtonen's left shoulder. That was the seventh shot on goal, equaling the Lightning's total for the final two periods in Thursday's loss to Nashville.
Hedman earned his 100th career assist.
"They got a break on the first two," Stars coach Lindy Ruff said. "One was off the side of St. Louis, and the next shot was about 4 or 5 feet high and probably going wide, but they got a stick on it."
Tampa Bay outshot Dallas 11-8 in the period.
The Stars dominated the second period, outshooting the Lightning 18-7.
However, Tampa Bay scored on St. Louis' breakaway for a 3-0 lead at 14:31.
Dallas intensified its pressure, and scored twice to go into the final period trailing 3-2.
At 15:50, Roussel deflected Kevin Connauton's shot from the left wing boards off Lightning defenseman Michael Kostka's skate and past Bishop.
Fiddler scored on a wraparound at 18:11.
It was only the fourth goal for Fiddler and 10th for Roussel, who play on a defensive line with Ryan Garbutt. They combined for nine shots on goal Saturday.
"When the Olympic break ended, we had a fresh start," Fiddler said. "We know we've got to get scoring throughout the lineup."
The Stars had chances while on a power play for the period's final 22 seconds, but couldn't score again.
"It was good we had the intermission to kind of talk about things," Bishop said. "I think Sami's goal (at 7:12 of the third) was big. I think that was what sealed the game and kind of gave us a little more oomph there to finish the third period and kill off a couple penalties."
In the third, Fiddler's line continued to pressure Bishop. He stopped good scoring chances by Fiddler and Garbutt early in the third.
"We needed to fight back, and we did," Ruff said. "When it was 3-2, we had two or three unbelievable opportunities to tie it up. If Fiddler takes another look and just gets it up, it's in the net."
Salo extended Tampa Bay's lead to 4-2. He took a pass off a faceoff in the neutral zone, skated in to the high slot and sent a slap shot into the top of the net.
"I think we kind of burst their bubble when we got that fourth one," Cooper said.
Before Thursday, St. Louis hadn't scored since a four-goal game Jan. 18. He has scored 29 times, with multiple goals in seven games. He has a five-game point streak (four goals, three assists, seven points). ... Palat has at least a point in four consecutive games. ... Dallas had outscored its previous 10 opponents 31-13. ... The Lightning have a 5-0-2 record in the past seven games against the Stars. The teams hadn't met in more than 2 years, since Tampa Bay's 2-1 victory Jan. 20, 2012, in Dallas. ... A puck sent into the Stars' bench hit Ruff in the head, cutting him between his eyebrows. "I've been hit harder. I have a small cut and a little headache," he said ... The Stars are 1-5-3 this season in games when they've had 40 or more shots on goal. ... Dallas defenseman Brenden Dillon was inactive because of a lower-body injury.