The composer and theatre mogul had some ideas about telling the story of Trump's historic victory in another of his award-winning Broadway and West End productions.
Webber, the brains behind The Phantom of the Opera, Evita and Cats, turned his appearance on The Graham Norton Show on Friday (11Nov16) into an impromptu brainstorming session.
"Whatever you think, it's an amazing story - Trump: The Musical," host Graham teased, with Webber replying, "The Lady and The Trump."
The 68-year-old Tony and Olivier Award winner also revealed he had to persuade Trump not to attend the opening of his Broadway show School of Rock in December last year (15), for fear of negative attention.
"Well, if you've been around New York - even vaguely around the scene in New York - it's quite hard not to know the president-elect," Webber explained. "He wanted to come to the opening of School of Rock, but actually I managed to persuade him not to come! We opened over a year ago now (on Broadway)... and I really, genuinely wonder if he really thought any of this was going to happen.
"I told him, 'Look, it's the (School of Rock) kids' night and you're so famous. Don't you think it's a good idea to perhaps (stay away)?' He was good about it! He said, 'No, I won't come’.”
Despite being on friendly terms with the new American leader, the composer asked Trump not to use any of his music during his controversial campaign rallies.
"I think what he's been saying and what he's been doing at the rallies has been absolutely shocking. Along with a lot of other Brit composers, we asked him to not use our music," he shared.
"There's nothing you can actually do to stop that. I don't think he's an idiot and I think if he surrounds himself with good people, we might just be alright. Don't quote me - I don't know!"