North Korea has "brilliant potential" and will be a "great economic and financial Nation one day", Donald Trump says. He said there is a "lot of good will", and that denuclearization of the Korean Peninsula would be "a great thing".
The talks, which Moon said Kim Jong Un requested, capped a whirlwind 24 hours of diplomatic back and forth.
While Pompeo is based in Washington, the North Korean diplomats accredited to the United Nations are based in NY and are not allowed to travel outside the city without special dispensation, making it the easiest place for meetings to be held.
Kim may see a meeting with Trump as necessary to easing pressure from crushing sanctions and to winning security assurances in a region surrounded by enemies.
Moon met Trump in Washington on Tuesday in an effort to keep the US-North Korea summit on track.
Robert Kelly, a professor of global relations at Pusan National University, said Trump should lay out what the USA is looking for instead of demanding everything.
A senior administration official said Trump himself dictated the letter, which also warned North Korea that USA nuclear power was vastly superior to Pyongyang's.
They agreed to have their top officials meet again June 1.
Mr Kim and Mr Moon held talks in the demilitarised zone separating their two nations on Saturday in a scramble to salvage the summit.
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As late as Tuesday, during a meeting with South Korean President Moon Jae-in, Trump said the summit would be positive for the world and could happen in the future if not next month.
Despite repeated references to "denuclearization of the Korean Peninsula" by the North, it remains unclear whether Kim will ever agree to fully abandon his nuclear arsenal.
"Last week's flip-flop helped North Korea earn sympathy from the worldwide community while U.S. prestige was damaged". It was national-security adviser John Bolton's ham-fisted invocation of the "Libya model" that prompted the angry outburst in Pyongyang that led Mr. Trump to cancel the summit in the first place.
And, on Sunday, the president said an American delegation was meeting with North Korean officials in preparation for the meeting. "Sadly, based on the tremendous anger and open hostility displayed in your most recent statement, I feel it is inappropriate, at this time, to have this long-planned meeting", he wrote, but soon after suggested talks could still go ahead.
Today is a USA bank holiday so the price action may be limited or exaggerated due to low volume. "I am hopeful that Secretary [of State Mike] Pompeo will brief and engage Congress". Clapper's negotiating partner at that time was Kim Yong-chol, then-head of the North Korean People's Army's Reconnaissance General Bureau, its main spy agency, and current director of the North's United Front Department, which is responsible for inter-Korean relations.
Mr Moon said he would seek a trilateral summit with Mr Trump and Mr Kim to officially end the war if their meeting is successful.
South Korean President Moon Jae-in and North Korea's Kim Jong-Un had agreed during a surprise meeting on Saturday that the North Korea-US summit must be held.
The Korean leaders' second summit in a month saw bear hugs and broad smiles.
He's trying to find out if Kim Jong Un is really willing to give up his nuclear weapons.