During the first press conference after his historic meeting with the North Korean leader, Trump said U.S. war games in the region would be "provocative" amid talks with Pyongyang and promised to suspend them.
As discussions follow after the summit, they could arrange meetings among the Koreas, the USA and possibly China to discuss the matter.
Trump and Vice President Mike Pence attempted to clarify Bolton's comments in May, but Pyongyang was back on the offensive: North Korea's state-run media outlet referred to Pence as "ignorant and stupid" for making "unbridled and impudent remarks".
The summit is not expected to last beyond Tuesday, with both leaders set to leave Singapore shortly after concluding their meetings.
Their signed commitment reaffirms an agreement struck between the leaders of North and South Korea.
The Korean Central News Agency and the Korean Central Television reported Monday that Kim departed from Pyongyang on Sunday morning via a Chinese chartered airplane to hold a summit with his USA counterpart in Singapore.
The Trump-Kim summit "opened the door to ending seven decades of hostility between the two countries", says The New York Times in a live briefing on all the nitty gritty details. If things turn out well, Trump will be encouraged to pursue similar tough terms with Iran.
Meanwhile at the Pentagon, officials ducked in and out of meetings to discuss what would amount to an epic shift in how the United States military has been postured in South Korea for decades.
But instead, she said, the North Koreans left him in a awful place with no care to vegetate, and then acted "like we're doing the world a favor" and released him saying he had botulism - which USA doctors never confirmed.
Bruce Klingner, a North Korea expert at the conservative Heritage Foundation, said the denuclearization pledge in the Trump statement is "diluted from the six-party talks provision, and there was no mention of North Korea moving towards complete, verifiable, irreversible denuclearization, as the administration had hinted".
Cindy Warmbier said Otto was brain dead at four months of captivity, and anyone who had a heart would have said, 'Well, we screwed up, let's get him some medical care'.
Trump said during the post-summit news conference that the remains of Americans who died during the Korean War will also be brought home.
Moon however cautioned that this was "just a beginning and there may be many difficulties ahead".