The Predators announced the deal Tuesday night.
An arbitrator heard Grimaldi's case Sunday. Grimaldi, 26, is coming off his best season with five goals and eight assists in 53 games in his first year with Nashville. He had never skated in more than 20 games in a season, and that was in 2015-16 with the Florida Panthers. He scored 13 of his 23 career points with Nashville, and he led the Predators with three playoff goals in five games.