The 57-year-old British actress said on the Swedish show Skavlan that the 70-year-old businessman asked her to have dinner years before he married Melania Trump and became president.
"He asked me out once," Thompson shared.
"It's very funny. I was doing a film called 'Primary Colors' with John Travolta in Hollywood. I was in my trailer on the Universal lot, and I'd just been divorced. My decree nisi -- decree absolute -- had just come through the day before."
"The phone rings in my trailer, which it's never done before," she recalled.
"I lift up the phone -- 'Hi, it's Donald Trump here.' I said, 'Really? Can I help you?' He said, 'Yeah, I wondered if I could offer you some accommodation in one of my Trump [hotels]. They're really comfortable.'"
"I said, 'Why are you offering me somewhere to stay in my trailer?' [He said], 'Well, you know, I thought we would get on very well. Maybe we could have dinner sometime,'" she said. "I didn't know what to do with myself. I was on my own and I said, 'I'll get back to you.'"
Thompson, who split from ex-husband Kenneth Branagh in 1995, said she never took Trump up on his offer.
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The actress married Greg Wise in 2003, while the now-president wed Melania Trump in 2005.
"You could be the first lady!" Skavlan host Fredrik Skavlan joked after Thompson's story.
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