Galchenyuk is scheduled to arrive in the Twin Cities on Tuesday afternoon and is expected to be in the lineup against the Golden Knights.
The Milwaukee, Wisconsin-born forward, who turns 26 on Wednesday, was selected third overall by the Montreal Canadiens in 2012 and debuted the following season, scoring nine goals and 27 points during the lockout-shortened 2013 season.
His best season came in 2015-16, when Galchenyuk scored 30 goals and 56 points as a 21-year-old with the Habs.
He's been unable to get back to that level, but was a productive scorer over his two final years in Montreal. He was traded to Arizona before the 2018-19 season, where he tallied 19 goals and 41 points before he was traded again, this time to the Penguins as part of the deal that sent Phil Kessel to the desert.
In 45 games this season with Pittsburgh, Galchenyuk scored five goals and had 17 points, mostly in a third- and fourth-line role.
That may be where he gets slotted in with the Wild on Tuesday, but as he adjusts to life with his fourth team in three years, the opportunity for more ice time could present itself.