The 23-year-old forward was a restricted free agent. He had 39 points (13 goals, 26 assists) in 83 games with the Wild and Nashville Predators last season, including seven points (three goals, four assists) in 19 games after he was traded to Minnesota for forward Mikael Granlund on Feb. 25.
Selected by Nashville in the first round (No. 11) of the 2014 NHL Draft, Fiala has 104 points (48 goals, 56 assists) in 223 regular-season games with the Wild and Predators, and six points (five goals, one assist) in 18 Stanley Cup Playoff games.
Wild coach Bruce Boudreau said he expects Fiala in camp once his visa issues are cleared up, and said he hopes he's up to speed with the rest of his teammates.
"The only thing I'm concerned about in that respect is what he's been doing while he's been at home, because you knew what the guys were doing here every day, and hopefully he was skating with a team back home and working hard like I think he would be," Boudreau said Thursday. "So if he does that then he won't be too far behind. So we'll find out as soon as he gets here."