The details came just hours before South Korean President Moon Jae-in is set to meet Kim for a historic one-on-one meeting, but with Trump again casting doubt on his own summit next month or in early June.
"It could be that I walk out quickly –- with respect, but it could be. It could be that maybe the meeting doesn’t even take place. Who knows?" Trump told Fox News's "Fox and Friends."
Possible venues include Europe – like Switzerland, where Kim went to university, and Sweden, the U.S.'s protecting power in North Korea -- South Asia, and the demilitarized zone between North and South Korea, where Moon and Kim are set to meet Friday.
Trump also revealed more about the secret visit by then-CIA director Mike Pompeo – just confirmed as secretary of state – made to Pyongyang. Pompeo was not scheduled to meet with Kim, Trump said, but the North Koreans arranged it after he arrived.
"We have incredible pictures of the two talking and meeting, which I'd love to release if we can. I'll do that actually. It's not a bad idea," Trump said.
Hours later, White House Press Secretary Sarah Sanders tweeted two photos of the men shaking hands.
Pompeo also met with his North Korean "counterparts," Trump added, presumably in intelligence agencies. But his encounter with Kim lasted more than an hour, Trump said, and "they got along."
On Wednesday, Trump was criticized for his warm words for the strongman -- accused of starvation, torture, and brutal repression -- calling him "very open" and "very honorable."
Trump reiterated his approval Thursday, commending North Korea because, "They’ve given up denuclearization, testing, research – we’re going to close different sites."
In other words, the North had already achieved its goal of nuclear weapons, so it no longer needed testing or this facility. It also has yet to publicly say it has agreed to denuclearization – what Trump defined as "they get rid of their nukes."
Instead, the world has heard through intermediaries that North Korea has "expressed its commitment to denuclearization," as South Korea's Moon put it last week, or that it is North Korea's "consistent stand to be committed to denuclearization on the peninsula," as official Chinese news service Xinhua reported in March.
Either way, those are not the same thing as getting "rid of their nukes."
But Trump doubled down on Fox, saying, "We haven't even really that much asked him [to give things up] because we would've asked him, but they gave it up before I even asked."
The president attributed that success to his own combative rhetoric.
"It was very, very nasty, you know, with 'Little Rocket Man' and with the buttons and my button's bigger," Trump said. "Everybody said this guy is going to get us into nuclear war."
But it would be a "weak" leader that would get the U.S. into a nuclear war, he argued, and instead talks are moving forward.
"Now they're saying, 'Wow, it looks like that will be taken care of.' I think we're doing very well. Let's see what happens," he said.