When South Korea's president shuttled between North Korea and the United States to broker their first-ever summit, he faced both praise and criticism over whether he was a peace-making mediator or was helping North Korea find ways to weaken USA -led economic sanctions. "There's a lot of work left to do".
"Just landed - a long trip, but everybody can now feel much safer than the day I took office", Trump tweeted early Wednesday.
"My understanding is the intention is to suspend the large joint training exercises", Thornberry said, adding that he supported the Trump administration's effort to give the negotiations a chance and "put North Korea to the test".
Despite those efforts, Trump announced after the summit that he had agreed to suspend USA military drills with South Korea, something North Korea has long demanded.
In his post-summit press conference, Mr Trump made the surprise announcement that the United States would halt joint military exercises with its security ally Seoul - something long sought by Pyongyang, which claims the drills are a rehearsal for invasion.
"There is no limit to what NoKo can achieve when it gives up its nuclear weapons and embraces commerce & engagement w/ the world".
"Let me assure you that "complete" encompasses verifiable in the minds of everyone concerned".
"I want to thank Chairman Kim for taking the first bold step toward a bright new future for his people".
Trump then boasted about the document both men signed. "But as an example, if Vladimir Putin were sitting next to me at a table instead of one of the others, and we were having dinner the other night in Canada, I could say 'Would you do me a favor?"
The lack of details contributed to an air of skepticism in Washington about what Trump accomplished.
US Republican Senator Lindsey Graham said Mr Trump's cost reasoning for halting the exercises was "ridiculous".
Trump has defended the agreement as a major step in dealing with the threat of nuclear-armed North Korea and said he believed Kim's government would start the process of living up to the agreement right away. "Trying to reason with someone like that is like trying to hand feed a shark". If you can't reduce it to writing, it's meaningless and he knows it.
Pompeo said Wednesday that Trump "made it very clear that the condition precedent for the exercises not to proceed was productive, good-faith negotiations being ongoing".
And in spite of Mr Trump's announcement, Onodera said that Japan would continue its military exercises with the USA and will continue to improve defences against any possible North Korean strike. "And, I'll be honest, we are being taken advantage of by virtually very one of those countries".
Pompeo also sought to counter concerns that North Korea and the USA came away from the talks with fundamentally different interpretations.
Last year's talking point was that Trump, with his "fire and fury" talk, was leading the USA into a nuclear war with North Korea.