"I probably have a very good relationship with Kim Jong-un", Trump was quoted as telling The Wall Street Journal in an interview on Thursday, refusing to confirm whether the two had spoken.
"Trump, who was meeting with the analyst as part of a briefing on a family being released by militants in Pakistan, waited until the briefing was over before questioning her where she was from".
Trump was unsatisfied and asked again, the officials said. "I'm a very flexible person".
The quote made headlines for appearing to contradict Trump's prior comments on the North Korean leader, who he has frequently derided and mocked as "Little Rocket Man". I'm not saying I have or haven't.
At that point, she admitted that both of her parents were from Korea - at which point Trump turned to an adviser and asked them why the "pretty Korean lady" wasn't being used as an asset to negotiate with North Korea over its nuclear arsenal. "I just don't want to comment".
North Korea boycotted the 1988 Summer Games in Seoul, meaning Pyeongchang will be the first Olympics they have attended in the South.
On a phone call with South Korean President Moon Jae-in after the talks, Mr Trump suggested he was open to discussion between the U.S. and North Korea as well.
The newspaper and Press Secretary Sarah Huckabee Sanders simultaneously shared audio recordings from the January 11 interview with Trump on their Twitter accounts at around midnight Saturday.
At the same time, United States troops are reportedly training in the kind of tunnel warfare - and buying the specific kinds of gear - necessary to wage war in North Korea. Trump asked, according to The Hill, adding why the USA wasn't bringing more people in from countries like Norway.
South Korea said Mr Trump denied perusing a "bloody nose" strategy in his call with Mr Moon this week.