Greenway, a part of the GEEK Squad line with Kunin and Joel Eriksson Ek, was velcro'd to either Connor McDavid or Leon Draisaitl for most of the game on Thursday.
The two Oilers connected on a power-play goal in the second period, and McDavid scored a third-period goal that briefly tied the game in the third period, although Greenway was the only representative of the line on the ice at the time.
But when the Wild had its chosen line on the ice against two of the best players in the game, they were remarkably quiet.
"Last game we played them I thought we did a good job taking their time and space away," Kunin said. "We tried to do the same tonight."
Why change what's working, right? The three shutout McDavid and the Oilers 3-0 on home ice in October, and secured a season-series victory over the Pacific Division-leading Oilers.
Minnesota climbed back to within two points of a wild card position in the Western Conference and has now secured a point in 13 of its past 14 overall.
"They've been really good to help us get back to where we're going. That's been a really big key," said Wild forward Eric Staal, who himself was a game-time decision after leaving Tuesday's game with an injury in the first period.