The U.S. leader stressed that existing U.S. sanctions will remain in place until North Korean nuclear weapons "are no longer a factor".
"It's important that we don't lose sight of the fact that Kim Jong Un is a butcher and he is a butcher of his own people", Senator John Kennedy, a Louisiana Republican, said Tuesday.
Al Jazeera's Wayne Hay, reporting from Seoul, said that there is not much sign in the declaration from Kim "that he is willing to give up much, if not anything". But if Trump seeks re-election in 2020, his government is likely to apply more pressure on North Korea to make substantial progress in denuclearization, which could bring the nuclear issue to another critical point, said Shin Beomchul of Seoul's Asan Institute for Policy Studies.
Jacqueline An, a Toronto lawyer, has represented many exiles over the years - and helped win the release last year of Hyeon Soo Lim, a Canadian pastor who was given a life sentence with hard labour for allegedly "meddling" in North Korean state affairs.
Donald Trump has declared that North Korea is no longer a nuclear threat, following his summit with Kim Jong-un.
On the way forward, Pompeo said, "I don't know exactly what the timing will be for our next conversation with the North Koreans". Others might say it's Moon who is probably more deserving, since he was pushing Trump and Kim toward peace when they were still both threatening nuclear war. "No longer - sleep well tonight!"
Trump also drew criticism for announcing he was ending joint "war games" with South Korea, embracing the frequent North Korean criticism that the exercises are "very provocative". "That will take a while". He met Kim again in May when Trump said he was withdrawing from the planned summit with Kim - a decision Trump quickly reversed.
FILE PHOTO: People watch from a shopping mall food court in the Los Angeles neighborhood of Koreatown as Singapore hosted a summit between U.S. President Donald Trump and North Korean leader Kim Jong Un, in Los Angeles, California, U.S., June 11, 2018. Trump has drawn bipartisan criticism at home for agreeing to pause joint U.S.
Trump, who returned to Washington early on Wednesday, hailed the meeting with Kim, the first between a sitting USA president and a North Korean leader, as a success that had removed the North Korean nuclear threat.
On Monday, Mattis told Pentagon reporters that there had been no discussions on future withdrawals of US troops from Korea.
In Japan, the prospect of canceled U.S. Pompeo, the former Central Intelligence Agency director, then plans to fly to Beijing to update the Chinese government on the talks.
"There is no longer a Nuclear Threat from North Korea", Trump tweeted as Air Force One returned from Singapore. "If diplomacy doesn't move in the right direction, sanctions will increase".
"We have big teams ready to go, " including experts from the USA and other partners around the world, Pompeo told reporters.
The U.S. has stationed combat troops in South Korea since the end of the Korean War in the 1950s and has used them in a variety of drills. The next scheduled major exercise, involving tens of thousands of troops, normally would be held in August. And "I can not stress enough how incredible and actually-from-the-White House this video is", he added. Defense Secretary James Mattis' chief spokeswoman, Dana W. White, told reporters he was "in full alignment" with Trump. He told reporters that if the USA concludes they no longer are, the freeze "will no longer be in effect". But he kept trying to reach out to North Korea, and eventually found a role as a mediator after Kim offered in January to send a delegation to the South Korean Winter Olympics.