Dallas outshot Montreal 27-24, but managed only Cody Eakin’s goal on a long shot that fooled Price late in the second period.
Dallas scored three goals in barely a minute to secure a 5-1 victory over the Calgary Flames on Thursday night at the American Airlines Center.
The Stars have activated goaltender Kari Lehtonen from injured reserve. Lehtonen has missed the past five games after being placed on injured reserve retroactive to October 11.
Chiasson scored the tiebreaking goal in the second period, and the Dallas Stars defeated the Washington Capitals 2-1 at the American Airlines Center on Saturday.
Logan Couture and Joe Pavelski scored late goals to help the Sharks clinch the playoffs with a come-from-behind 3-2 victory over the Stars on Tuesday night.
Jeff Carter deflected the winning goal off of his upper body with 51 seconds left in overtime, and the Kings landed a 4-3 victory over the Stars on Sunday night.
Cody Eakin, Jamie Benn and Ray Whitney scored goals in the third period to break open a tie game and help the Stars cruise to a 5-1 victory over the Canucks on Thursday night.
Kari Lehtonen will be back in goal for the Dallas Stars after missing nearly four full games because of a groin injury.
Ray Whitney and Vernon Fiddler both scored twice during a four-goal third period, and the Stars broke open a tie game to rout the Kings 5-1 on Tuesday night.
Ryan Getzlaf had a goal and two assists, and Teemu Selanne scored his 673rd career goal in the Anaheim Ducks’ 5-2 victory over the Dallas Stars on Wednesday night.
Viktor Fasth made 26 saves for his third shutout of the season, leading the Anaheim Ducks to a 4-0 victory over the reeling Dallas Stars on Monday night.
Zach Parise scored two goals and added an assist, and the Wild extended their winning streak to six games with a dominating 7-4 win over Stars on Monday night.