It's the highest-level official North Korean visit to the United States in 18 years.
"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", Trump wrote in a letter to Kim Jong Un on May 24.
Pompeo spoke after meeting with Kim Yong-chol for a little more than two hours at the residence of the deputy USA ambassador to the United Nations. "Steak, corn, and cheese on the menu".
The two countries, eyeing the first summit between the US and the North after six decades of hostility, have also been holding negotiations in Singapore and the demilitarized zone between the two Koreas.
When asked if the option of holding this meeting in Beijing was discussed, Peskov said: "No, not particularly [in Beijing], this is not discussed".
"I look forward to the day when I can take the sanctions off of North Korea", Trump said.
"We will see what happens".
The revival of the summit came after Trump met with a North Korean emissary on Friday afternoon at a meeting that extended for almost two hours, much longer than was expected.
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The North Korean visit to the White House would be the first by a high-level official from the secretive state since 2000, when senior figure Jo Myong Rok met President Bill Clinton in a previous round of US disarmament efforts that failed to bear fruit.
This morning, Pompeo said in a tweet that the on-again-off-again summit would bring North Korea "a great opportunity to achieve security and economic prosperity".
North Korea is estimated to have more than a dozen nuclear weapons.
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 U.S. with a nuclear-tipped missile - a capacity that Trump and other United States officials have said they would not tolerate.
"But I think it'll get done in a very smart, organized fashion and I think that Kim Jong Un wants to see it also".
Trump and Pompeo posed for several rounds of photos with the North Korean delegation before walking their visitor back his black Chevrolet Suburban at 2:40 pm. A letter being delivered to me from Kim Jong-un. "You people will have to travel, because you're going to Singapore on June 12", he said.
It was not immediately clear who accompanied Kim Yong Chol on the North Korean side.
Kim Yong Chol, vice chairman of the North Korean ruling party's central committee, was allowed into the United States despite being on a U.S. sanctions list.
The White House emphasized that it has remained in close contact with South Korean and Japanese officials as preparations for the talks continue.
Most expert observers are sceptical that even an unprecedented summit between the two leaders can lead to a rapid breakthrough, and Trump admitted it would be a long and hard process.