According to TMZ, the LAPD recently issued the site with a search warrant, demanding information about two accounts believed to be associated with an individual who may set out to harm the actress.
The warrant, obtained by TMZ, states that the Juno star received several threats in June, including messages that read: "I'm going to murder Ellen Page. She's dead" and "Ellen Page if you continue to date Alexander [Skarsgard] I will K-1-L-L you in public in the next year... Be it in a club, at a game, in a restaurant, or when you're signing autographs".
The online threats - which have since been deleted - were allegedly accompanied by a telephone call to an organisation involved with the LA Film Festival, where Page's latest movie, Woody Allen's To Rome with Love, premiered on June 14. Police say that the caller claimed they were going to go to the festival and "kill Page".
Investigations are said to be ongoing and Page's representatives have yet to comment on the situation.
Watch the trailer for To Rome with Love, starring Ellen Page, Jesse Eisenberg and Penelope Cruz, below: