The Stars had their scoring chances, especially in the third period when they trailed the Blues 3-1, and didn't give St. Louis a lot of high-quality opportunities.
But there is one thing Dallas coach Jim Montgomery wants to change in Game 2 on Saturday (3 p.m. ET; NBC, TVAS, SN).
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"Being harder on their best players," Montgomery said. "I do think that's an area where we can get better."
The Stars can draw some inspiration from the first round, when they effectively shut down the Nashville Predators' top line of Filip Forsberg, Ryan Johansen and Viktor Arvidsson. The three combined for four points (a goal and an assist each for Forsberg and Johansen) in six games, thanks mainly to the work of the Stars third line of Andrew Cogliano, Radek Faksa and Blake Comeau.
But the Blues present different challenges.
"They have lots of big bodies," Faksa said. "It's different hockey than against Nashville. It's more physical, it's harder around the net."
A big part of Dallas' defensive focus is Vladimir Tarasenko. The Blues forward has played well against the Stars in his NHL career, with 25 points (18 goals, seven assists) in 28 games. He was tough to contain on Thursday, when he scored two goals, including one eight seconds into a Blues' power play.