Lea Michele Is Grieving with Cory Monteith’s Family, Rep Says

Cory Monteith and Lea Michele

Brian Dowling/Picturegroup

updated 08/25/2015 AT 8:16 PM ET

originally published 07/16/2013 AT 5:45 PM ET

Lea Michele issued a statement via her reps Tuesday after the coroner announced her boyfriend Cory Monteith died of a mixture of heroin and alcohol.

“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,” reads the statement, obtained by PEOPLE exclusively.

“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.

Monteith, 31, whose body was found in a Vancouver hotel room over the weekend, died in what the coroner called a “most-tragic accident.”

The two stars of Glee dated for more than a year, and Michele, 26, stood by his side when he voluntarily entered a month-long treatment program for substance addiction. They reunited after he was released.