Breaking Dawn Part 2 in 2012 is assumed to be the vampire franchise's final instalment, tying in with Stephenie Meyer's last novel.
However, Feltheimer told the Los Angeles Times: "I'm anticipating Breaking Dawn Part 2 being $700 million-plus in worldwide box office.
"It's hard for me to imagine a movie that does $700 million-plus doesn't have ongoing value.
"It's an amazing franchise that they have done a great job of maintaining with absolutely no deterioration. So the simple answer is, 'Boy I hope so'."
Feltheimer added that Lionsgate will "certainly hope to" adapt Twilight into a TV series.
Starring Robert Pattinson, Kristen Stewart and Taylor Lautner, The Twilight Saga: Breaking Dawn Part 2 is to be released worldwide on November 16 this year.
> Breaking Dawn posts fifth highest opening - US box office top ten
Watch the trailer to Breaking Dawn Part 1 below: