The agreement will be worth $650,000 at the NHL level and $80,000 in AHL salary, with $105,000 guaranteed.
Valiev was acquired in the deal that sent Tomas Plekanec to the Toronto Maple Leafs on February 25.
A native of Nizhnekamsk, Russia, Valiev only appeared in two games with the Canadiens before being injured. Prior to that, he had suited up for 45 games with the AHL’s Toronto Marlies and Laval Rocket, notching six goals and 18 points.
Valiev has 54 points (13G, 41A) in 154 career AHL games. He was the Maple Leafs’ third-round pick (68th overall) at the 2014 NHL Entry Draft.