Montreal's new additions will report to the AHL's Laval Rocket.
Blandisi appeared in 21 games for the Penguins this season, recording two goals and five points. The Colorado Avalanche selected the 25-year-old in the sixth round in 2012.
Lucchini has yet to appear in an NHL game. The undrafted 24-year-old played in 53 contests with the AHL's Wilkes-Barre/Scranton Penguins this season, recording seven goals and 15 points.
Barber appeared in nine games with the Canadiens this season and went pointless. He's totaled 13 goals and 31 points with the Rocket. Varone hasn't appeared in an NHL contest this season but has collected four goals and 10 assists in 27 games with Laval.