Jacob Markstrom made 20 saves for the Flames, who can win the series Friday in Dallas. If necessary, Game 7 would be back in Calgary on Sunday.
“It feels a lot better than if we were down, but we know it’s going to be a really hard game” Backlund said. “Of course, we feel confident and excited going there. It’s a big game.”
Jason Robertson scored the lone goal for Dallas, and Jake Oettinger stopped 29 shots.
Robertson, who had a team-leading 41 goals in the regular season, scored his first in the playoffs at 13:21 of the second period to put the Stars ahead 1-0. He drove in from the boards and wristed a shot that deflected off Markstrom’s glove and then off defenseman Noah Hanifin into Calgary’s net.
But the line of Backlund, Mangiapane and Blake Coleman struck in the third.
“We knew they were going to come hard,” Robertson said. “We tried to minimize their speed to the neutral zone and we didn’t and it cost us.”
Mangiapane circled out from behind the goal line and centered the puck for Backlund’s redirect by Oettinger to make it 1-1 at 6:49 of the third.
“I haven’t scored much down the stretch here,” Backlund said. “It felt really good to put the puck in the net and such a big goal as well.”
The Flames took the lead when Backlund was in the neutral zone and fed a backhand pass to Mangiapane at the Stars’ blue line. Mangiapane took three strides in and beat Oettinger’s glove with a high shot at 13:20.
“It was loud,” Mangiapane said of the Saddledome crowd. “It was great even when Backs scored. You could hear the building erupt. I think the fans were waiting for a goal. Our whole team just fed off that energy from the fans.”
Lewis sealed it with an empty-netter with 58 seconds left.
Neither team scored on their two power-play chances and are 2-for-19 in the series.
“We’re going to look at some stuff from this game and get ready for the next game and it’s not over yet,” Dallas’ Roope Hintz said.
Flames forward Johnny Gaudreau took a deflected puck in the side of the head at the Stars’ blue line. He went to the dressing room for treatment late in the period, but was back in the game in the second period.
NOTES: Stars coach Rick Bowness altered his lineup by scratching forwards Denis Gurianov and Alexander Radulov. … With 92 career playoff wins, Calgary’s Darryl Sutter is two shy of tying Pat Quinn for the sixth most among NHL coaches. … Dallas’ Joe Pavelski passed Brian Rafalski with his 166th career playoff game, for fifth most in NHL history among United States-born players.