Columbus, who directed the first two "Harry Potter" films, said he is not interested in making the planned "Fantastic Beasts" movie, but wants to come up with a new story, reported Entertainment Weekly.
"I would love to go back and do another one. "Not 'Fantastic Beasts' as much, which I think is going to be amazing, but I would love to do another movie with those three characters - Harry, Hermione, and Ron.
"I'm just fascinated about what happened to them after the end of the last movie, because then they cut to 18 years ahead. There's 18 years there of great Harry Potter stories," he said.
"I don't have the courage to actually mention that to her because I have such respect for her. She should do what she wants to do, but I really would love to know what's in her head about those missing years."
"Fantastic Beasts And Where To Find Them" is a prequel to the "Harry Potter" franchise, taking place 70 years prior to the first book.
The film, which will be directed by David Yates, who helmed the last four "Harry Potter" movies, is set for a November 2016 release.