Alert the Department of Magical Transportation. Harry Potter is considering a trip to New York.

The lead producers of “Harry Potter and the Cursed Child,” the new play that is a sequel — and the eighth story — in the Harry Potter canon, said this weekend that, having won over critics and audiences in London, they are ready to start thinking about a Broadway production.

The producers, Sonia Friedman and Colin Callender, said in a joint telephone interview that they have made no decisions, but that they expect to begin conversations in London this week and to schedule meetings in New York in the fall.

“Our only immediate objective was to get to today, but Colin and I said that next week we’re going to sit down, have a cappuccino and start talking about what’s next,” Ms. Friedman said on Saturday, during a break in the play’s gala opening (for friends of the show; a separate opening for critics, which prompted the publication of reviews, was held last Monday). “Of course, it would be disingenuous to think New York and Broadway weren’t part of our thinking.”

No specifics have been decided, she said. “Harry Potter, the brand and the story, are as iconic over there as anywhere in the world, and, Colin and I being theater producers and Broadway producers, of course it’s on our radar, but where, how, when and with whom, we have no idea.” She added: “We don’t have answers yet, but will have some soon. Until then, if you hear anything about where we’re going, when we’re going or how we’re going, it’s not true.”