Hintz gave Dallas a 1-0 lead at 4:51 of the second period, scoring past a diving Grubauer after Esa Lindell found him with a cross-ice pass off a rebound.
Eberle tied it 1-1 at 7:41 when Matty Beniers and Eberle each deflected a point shot by Dunn.
Marchment responded for Seattle to make it 2-1 at 10:29, deflecting a Ryan Suter shot off an offensive-zone face-off win by Ty Dellandrea.
"I think we played a really good game," Marchment said. "So just keep pushing, right? We had our guys out there at the end and we took advantage of some of their mistakes and, you know, it was huge."
Dallas is 2-0-0 to begin a season-long six-game road trip.
"It's kind of weird (to play Seattle again Monday) I've never had anything like this," said Marchment. "So, it's kind of interesting. But, again, it's pretty fun. It's nice to not have to travel tonight so that's huge."
NOTES:Hintz extended his point streak to eight games (nine goals, three assists). He has scored in three straight and seven of his past eight. … Dunn extended his point streak to a career high nine games (three goals, 10 assists) and his assist streak to seven (nine assists). … Wennberg has 300 points (80 goals, 220 assists) in 617 NHL games. … Heiskanen extended his point streak to six games (three goals, six assists). … Kraken defenseman Jamie Oleksiak played his 500th career NHL game. He played 286 games with Dallas. ... Domi has three points (goal, two assists) in four games since being acquired from the Chicago Blackhawks on March 2. ... Stars forward Evgenii Dadonov had one assist and has six points (two goals, four assists) in seven games since being acquired from the Montreal Canadiens on Feb. 26.