The Blues, who had a total of 9:36 of power-play time during the game, including 24 seconds of 5-on-3 in the first period, couldn't convert even when they pulled goalie Jordan Binnington with 1:40 remaining in regulation for 55 seconds of 6-on-4.
"It was great, great PK from us," Stars defenseman Miro Heiskanen said. "Great blocks and great cut passes and it was really good. Good play by us."
Blues coach Craig Berube felt there could have been more time with the 6-on-4 had St. Louis not turned the puck over. Center Ryan O'Reilly won the face-off but promptly turned it over trying to make a backhand pass and enable Dallas to get a clear.
"We get the puck there, get set up, we can get our goalie out a lot quicker and get 6 on 4 with more time," Berube said. "We got some good looks. They did a good job up ice on us and disrupted our breakout at times. Winning the face-off is important, obviously.
We lost some draws and kills your momentum a little bit. We had some good looks but not enough.
"We've got to do a better job of little things, like in the breakout, better execution, and face-offs, execution too. That will help for sure."