Cogliano has an arbitration hearing scheduled for July 21.
Cogliano, 24, was a first-round pick by the Oilers, taken 25th in 2005. He has never missed a game since entering the League and finished this past season with 11 goals and 35 points.
Cogliano had his best season as a rookie in 2007-08, posting career highs with 18 goals and 45 points. He scored 18 goals again the following season and for his career has 57 goals and 146 points in 328 games for Edmonton.
I've been getting frustrated lately, and the only thing keeping me sane was the team winning and other people stepping up and scoring. Then you just kind of let it go and realize you can end the series with one shot, that frustration goes away for a brief moment, and that's what happened.
— Montreal forward Max Pacioretty after scoring the OT winner in Game 4 -- his first career playoff goal -- to eliminate the Lightning and send the Canadiens into the second round