Ty Dellandrea scored, and Scott Wedgewood made 33 saves for the Stars (30-15-12), who have lost seven of nine (2-2-5), including a 2-1 shootout defeat to the Minnesota Wild on Friday.
"You're going to have to find ways to overcome," Dallas coach Peter DeBoer said. "You're going to have to find a way to overcome [a] back to back, a tough schedule, and some travel, and an early start, and a couple of overturned goals. We've got to find a way to overcome those things."
Liam Foudy gave Columbus a 1-0 lead at 17:41 of the first period. After Wedgewood poke-checked a cutting Jack Roslovic, Foudy knocked the loose puck in on a backhand.
Selected in the first round (No. 18) of the 2018 NHL Draft, it was Foudy's first regular-season goal in 63 NHL games. He scored his first career goal during the 2020 Stanley Cup Playoffs.
"I felt like I was playing some pretty good games lately and our line (with Roslovic and Emil Bemstrom) was playing well," Foudy said. "And the team, we're having some close games lately and winning some. Obviously, getting that goal is big for my self-confidence."