“Well it is happening and we’re setting that up right now,” Trump told reporters on Tuesday, adding, "Singapore was fantastic, but we'll probably do a different location.”
"We're talking about three or four different locations," he added.
He did not clarify where the possible venues will be, but did not discount the suggestion of his Mar-a-Lago golf estate in Palm Beach, Florida.
Kim would "probably like that," Trump said. "I'd like that, too. I think it would be good. But we'll see."
He also said that “timing won’t be too far away,” but noted that it would not happen until after the November election.
Trump once again praised the North Korean leader, saying, "I like him; he likes me."
"And we have a very good relationship with Chairman Kim, which is very important."
The president also described the recent trip by Secretary of State Mike Pompeo to Pyongyang as productive, saying he thinks “incredible” progress has been made in US talks with the country.
Pompeo, who had a short trip to the Asian country on Sunday, told a news briefing in the South’s capital, Seoul, that Kim had agreed to allow inspectors into the country’s key nuclear and missile testing sites.
He said international inspectors would be allowed access to a missile engine test facility and the Punggye-ri nuclear testing site as soon as the two sides agree on logistics.
Trump and Kim met in Singapore on June 12 for the first-ever summit between the leaders of the two countries.
During the summit, Kim pledged to work toward denuclearization of the Korean Peninsula.
However, US officials acknowledge that there have been no public signs of denuclearization in North Korea.
Pyongyang says Washington has betrayed the spirit of the June summit by making unilateral demands for denuclearization without taking any reciprocal measures, including for past North Korean goodwill steps.