"We ask that everyone kindly respect Lea's privacy during this devastating time," her rep said in a statement Sunday.
As RadarOnline.com has been reporting, Monteith, 31, was found dead in his Vancouver hotel room at about noon on Saturday. The cause of death has yet to be determined.
The Glee costars' romance had made it through his stint in rehab in April, with Lea saying at the time, "I love and support Cory and will stand by him through this."
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She is being comforted by family and friends.