"It's a long process", Pompeo told a small group of reporters in the South Korean capital of Seoul where he traveled after meeting with Kim in Pyongyang on Sunday.
"It is unlikely he will get into the necessary negotiating to make progress on reducing the wide chasm between the U.S".
"We continue to make progress on agreements made at Singapore Summit", the tweet continued, referring to the face-to-face talks in June between Kim and U.S. President Donald Trump, which ended with an agreement to work toward the "complete denuclearization" of the Korean Peninsula.
After a previous visit to Pyongyang in July, Pompeo had said the two foes had made progress on key issues. "We are not quite there yet".
'Maybe we will get further than that'. DPRK is the acronym for the country's official name: Democratic People's Republic of Korea.
"We can't rule out the possibility that Washington. may move in the direction of partial easing of sanctions based on progress in denuclearisation", he said. But within hours of the Secretary of State departing the North released a statement condemning "gangster-like" demands from the USA, raising questions over how much the two sides really saw eye to eye.
Kim and Pompeo met for about two hours, and then had lunch together at the Paekhwawon, or 100 Flowers Garden, a prestigious state guesthouse, for another hour and a half, according to a pool report.
As the pair sat for lunch, Kim said, "It's a very nice day that promises a good future for both countries".
"Yeah, so we had a great, great visit this morning", Pompeo replied.
Japan, which has seen North Korean missiles fly over its territory and been threatened with annihilation, has historically taken a hard line on Pyongyang and stressed the need to maintain pressure on the regime.
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USA officials have said the sanctions will remain in place until North Korea has "fully" and "verifiably" denuclearized. He said there's continuing global support for economic sanctions to remain on North Korea in the meantime.
Pompeo said he and Kim discussed denuclearisation steps to be taken by the North and the issue of US government monitoring of those actions, which Washington sees as vital, as well as the measures the United States would conduct in return, Moon's office said.
In an interview with the Washington Post, she said the North could agree to dismantle Yongbyon, its signature nuclear site. The North has rejected that.
Pompeo, however, played down the differences.
"If you do see concrete action that assures the USA, the rest of the world that definitely concrete steps are being taken to eliminate very important parts of their nuclear program, then that's a definite step forward and builds the trust", Kang told The Washington Post in an interview last week. "And so there'll be tactical places where we'll have debates and disagreements, that is a necessary component of getting to the best deliverable".
During the appearance with the media, Pompeo said he wanted "a fully coordinated, unified view of how to proceed, which will be what is needed if we are going to be successful in denuclearizing North Korea".
"The mission is to make sure that we understand what each side is truly trying to achieve", Pompeo said Friday en route to Japan, his first stop on his swing through East Asia.
Pompeo's last trip did not go well. Instead, they want both sides to take a "phased" approach, in which Pyongyang is rewarded as it takes gradual steps to roll back its nuclear program.
The North also has accused Washington of making "unilateral and gangster-like" demands on denuclearization and insisted that sanctions should be lifted before any progress in nuclear talks.
North and South Korea leaders met last month to rekindle the peace process.
South Korean President Moon Jae-in (R) shakes hands with United States Secretary of State Mike Pompeo during their meeting at the presidential office in Seoul on October 7, 2018.
Moon and Kim held their third summit in Pyongyang last month, where Kim reaffirmed his willingness to achieve denuclearization on the Korean Peninsula.