Pompeo did say he hoped to achieve "major disarmament" during Trump's first term, or in the next two and a half years.
"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".
"Everybody can now feel much safer than the day I took office", he wrote on Twitter.
"We would of course have offered hospitality", Dr Balakrishnan added, when asked if Singapore paid for the North Korean contingent's hotel stay at the St Regis.
Pompeo's comments came after North Korean state media reported on Wednesday that Trump had agreed to a "step-by-step" process, suggesting that North Korea would gain concessions from the U.S. at the same time.
The Pentagon has said that the next large-scale joint military exercise with South Korea is Ulchi Freedom Guardian, scheduled for fall.
"We've never given that in because it's been our right, and it means readiness for our troops", he said.
"I suppose we could argue semantics, but let me assure you it's in the document", Pompeo told reporters Wednesday in Seoul. Less than a year before their historic summit, Trump was threatening "fire and fury" on North Korea and publicly deriding Kim as "Little Rocket Man".
Mr. Trump downplayed Kim's actions, suggesting Kim isn't alone in that.
Adam Schiff, a top US Democrat and staunch Trump critic, warned the standoff was far from resolved.
Kim is now promising to work toward a denuclearized Korean Peninsula and state media heralded the meeting as victorious, with photos of Kim standing side-by-side with Trump on the world stage splashed across newspapers in Pyongyang.
Some analysts are likely to see the comments as part of a worrying trend since North Korea showed no public sign at the summit or since that it is now willing to implement the complete, irreversible and verifiable destruction of its nuclear programs.
"So is a dangerously naive president", Schiff said.
TRUMP: "Chairman Kim and I just signed a joint statement in which he reaffirms his unwavering commitment to complete denuclearization of the Korean Peninsula".
A government source familiar with the matter told Reuters that Japanese officials planned to discuss the summit with North Korean officials at an global conference on Northeast Asian security to be held in Mongolia on Thursday and Friday.
In Pyongyang, commuters crowded round the spread of images.
There was a carnival atmosphere at the historic summit in Singapore.
To give you a brief recap of what the other media around the world said, Washington Post reported that the summit was a huge success for the North Korean leader, saying that President Trump made huge concession to Kim.
For South Korea particularly, the suspension of the annual military exercises came as a surprise.
Mr Trump told Fox News: "We're not going to be doing the war games as long as we're negotiating in good faith".
The Pentagon could not immediately provide an estimate of how much the drills cost.
CNN reported Wednesday that the USA could announce its plan to halt the joint exercises as early as Thursday.
Even while buckling under the U.S. administration's "maximum pressure" policy of energetic sanctions expansion and implementation - a policy that is now dead in the water after the summit - Kim was able to complete a sufficiently credible nuclear deterrent to force the United States to the negotiating table.
Will the Singapore summit be the beginning of a new era?