'He said, "I wonder if I could offer you some accommodation in one of my Trump Towers, they're really comfortable. I think we would get on very well, maybe we could have dinner some time.'"
The actress added: 'I didn't know what to do with myself. I was on my own and I just said, "Erm, I'll get back to you.'"
Meanwhile, a row erupted in Washington last night after new claims that US spies may have eavesdropped on Mr Trump's private conversations.
Devon Nunes, Republican chairman of the House of Representatives intelligence committee, said communications by Mr Trump and his presidential transition team were swept up inadvertently during surveillance on foreign targets.
He infuriated Democrat committee colleagues by telling the president about this before them, but Mr Trump said it was vindication of his claims that his predecessor Barack Obama ordered him targeted in a 'wiretapping' operation.