KHL clubs are only allowed to sign a maximum of three NHL players during the NHL lockout.
The 26-year-old registered 22 goals and 21 assists for 43 points in 79 games with the Blackhawks last season.
In 196 career NHL regular-season games with the Toronto Maple Leafs and Hawks, Stalberg has accumulated 43 goals and 38 assists for 81 points, along with 107 penalty minutes.