The Flames fell 6-4 to the Stars in a high-scoring affair.
Micheal Ferland, Johnny Gaudreau, and Sean Monahan scored for the Flames, while Mike Smith stopped 35 of 40 shots, and picked up his first point as a Flame with an assist.
Tyler Seguin scored a hat trick, and Antoine Roussel, Alexander Radulov, and Gemel Smith also scored for the Stars. Ben Bishop stopped 34 of the 38 pucks that came his way.
"I think we didn't play great today," Dougie Hamilton said after the game. "I think we had some good offence from Johnny's line and some goals but other than that I don't know if we had too many great chances. Jags had a couple.
"Just those turnovers, that hurt us."
It was Roussel who opened the game's scoring. With just under two minutes to go in the first period, he collected a pass from Tyler Pitlick and, alone in front of the net, snapped it high blocker side over Smith, giving the Stars the lead.
Ferland wasted no time in responding. Just 39 seconds into the second period, Monahan dished it to Ferland at the top of the circle, and a perfect, hard shot beat Bishop high, tying the game.
Just over two minutes later, Gaudreau did a little pickpocketing. Sneaking in behind Dan Hamhuis in the Stars' zone, he stripped him of the puck and then scored with a quick shot far-side, giving the Flames their first lead of the game.
With Curtis Lazar and Esa Lindell both in the box for matching high-sticking penalties, Seguin responded. Mattias Janmark's shot from the corner resulted in a high rebound from Smith, and Seguin batted the puck in over Smith's shoulder to even things up.
The goals kept coming late in the second. With Roussel sitting in the box for goalie interference, Gaudreau took a hard shot on net. Bishop's rebound bounced right to Monahan, who made no mistake in burying the puck past him.
However, 59 seconds later, Radulov capitalized off of a rebound caused by a Devin Shore shot, tying the game at three apiece.
Video: Ryan Leslie recaps tonight's game against the Stars
"Yeah, I think we kept getting leads and then just blowing them," Hamilton said. "Every time we got a goal we'd give up a goal and that kinda killed it for us. We couldn't hold on to a lead and play with a lead and I think that's what hurt us."
Monahan and Gaudreau, however, responded in the third period. Gaudreau rushed the puck into the offensive zone and, under pressure, smoothly dished it over to Monahan. Monahan beat Bishop short-side to retake the lead.
After a gusty penalty kill by the Flames - including a 1:20 five-on-three - Gemel Smith tied the game up for the Stars. He popped the puck just past Mike Smith after Brett Ritchie got the puck on net.
"I thought we played a pretty good game right until the 10 minute mark of the third and then we had a huge penalty kill, I thought the guys did an excellent job on a 5-on-3, and then all of a sudden we self-inflicted ourselves," Gulutzan said.
"You're going to give up chances, there's chances in every game that's played in this league. The problem is we don't need to give them up."
Seguin scored soon after, taking the lead back and scoring the eventual winner as he came in on Smith alone and beat him short-side. He completed the hat trick with an empty net goal.
"Not good enough," Travis Hamonic said. "That was an area we talked a lot, and we've been talking about a lot this year.
"We're a good team, and we believe that we're a good team. We believe in one another and that area is not creeping into our game whatsoever as a team. We believe in the group that we have on the ice and we know that we can do it. We just have to go out there and do it and execute."
ONE-TIMERS: Gaudreau bounced back from having his 10-game scoring streak snapped with another three points - his 11th multi-point game of the season. With 34 points, he's tied for second in NHL scoring with Nikita Kucherov … Monahan has six goals in his past four games. He's fourth in NHL goal-scoring with 14 total … Smith's assist was the eighth of his career, and his ninth point in the NHL.
NEXT UP: The Flames close out their six-game road trip Saturday night in Colorado (8 p.m. MT). They'll be back at the Scotiabank Saddledome on Tuesday to host the Maple Leafs (7 p.m. MT), and will close out November with their first contest of the season against the Coyotes (Thursday, 7 p.m. MT).