In a personal letter to Kim, Trump announced Thursday he would not go ahead with the June 12 summit in Singapore, following what the White House called a "trail of broken promises" by the North. Beijing had backed the summit and was possibly taken unawares with the cancellation following heated exchanges between Washington and Pyongyang this week.
Underscoring the high stakes, Mr Trump said he had spoken with military leaders, as well as Japan and South Korea, and stressed that the United States was prepared for any threat.
China said the U.S. and North Korea should show patience, encouraging them to "show goodwill and meet each other halfway".
Speaking to reporters outside the White House in Washington, the United States president said: "We gonna see what happens".
"Under the current circumstances we hope both the DPRK and the U.S. can cherish the recent positive progress, stay patient, show goodwill, move in the same direction and continue to stay committed to promoting the denuclearisation of the peninsula", he added.
He added that North Korea remained open to resolving issues with Washington "regardless of ways, at any time".
Cheshire said: "If you think back to a year ago, when he was a pariah, well, he's had all these meetings where he has become more of an worldwide (figure) than a despot back home, especially that historic meeting in the Demilitarised Zone between North and South Korea". Recent reports suggested that Trump was still resisting the detailed briefings on North Korea's nuclear capabilities that were given to previous presidents.
USA defense and intelligence officials have repeatedly assessed the North to be on the threshold of having the capability to strike anywhere in the continental US with a nuclear-tipped missile - a capacity that Trump and other USA officials have said they would not tolerate.More news: Millions to hit the roads for the holiday weekend
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House Speaker Nancy Pelosi said she imagine Kim "having a giggle fit" after Trump rescinded the offer of a summit.
Robert Kelly, a professor of political science at South Korea's Pusan National University, told CNN earlier this week that "the Trump administration is going into [the summit] very, very quickly". Hours after North Korea dismantles its nuclear testing ground in front of foreign journalists, Trump announces he's pulling out of his summit with Kim, citing the North's "tremendous anger and open hostility". "Is it your opinion that this decision by Kim Jong-un is a result of a weak leader who lacks the internal support to go forward with a meeting on denuclearisation?"
Now, Trump is blaming Kim's trip to China two weeks ago for bringing about an unwelcome "change in attitude" by the Korean leader.
The U.S. may also have damaged relations with South Korea. South Korean president Moon Jae-in said he was "very perplexed" by the decision, and other world leaders expressed disappointment with it.
The North Korean government on Friday said it is still "willing to give the USA time and opportunities" to reconsider talks "at any time, at any format".
A senior White House official said late Thursday that during Secretary of State Mike Pompeo's second trip to Pyongyang, the regime promised to send delegates to Singapore to work with American counterparts on logistics for the meeting.
"We got a lot of dial tones, Senator", he told committee chairman Bob Corker. Trump's announcement coincided with North Korea's move to demolish its underground nuclear test site deep in the mountains of the sparsely populated northeast.
Still, the Trump administration tried to keep up a positive face, dismissing the shifts as an expected negotiating maneuver by Kim and stressing there had been no official notification from the North of any change to the meeting.