UPDATE: 'Glee' Star Cory Monteith Dead at 31

Following the coronoer's announcement, Michele's rep released this statement:

"Lea is deeply grateful for all the love and support she’s received from family, friends, and fans. Since Cory’s passing, Lea has been grieving alongside his family and making appropriate arrangements with them," read the statement submitted to People.

"They are supporting each other as they endure this profound loss together. We continue to ask the media to respect the privacy of Lea and Cory’s family.”