Pompeo told Moon that he and Kim discussed denuclearization steps to be taken by the North and the issue of USA government inspection of those actions, which Washington has been calling for, as well as the measures the United States would conduct in return, according to Moon's press secretary Yoon Young-chan.
While China wants stability in the Korean Peninsula and does not want a USA presence, Beijing is using the North Korea issue to strengthen its relations with Washington, added Glaser.
The prize was the first Nobel ever awarded to a Congolese, sparking joy and pride in the biggest country in sub-Saharan Africa, plagued by more than two decades of bloodshed and brutality involving militias, rebel groups and government forces.
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In contrast with South Korea, whose President Moon Jae-in has been at the forefront of encouraging Trump's rapprochement with the North, Japan has been decidedly cautious, insisting that its interests and concerns be addressed. Their meeting comes as President Trump and the North Korean dictator intend on sitting down for another summit to continue work on verifiable denuclearization.
On the flight to Tokyo, Mr Pompeo said his aim was to "develop sufficient trust" between Washington and Pyongyang to inch towards peace.
But analysts said Pompeo faces challenges to ensure a second summit produces real progress toward denuclearization.
However, he played down expectations for a major breakthrough. "I would really like to see him go in there and lay out the vision for how do we get to a peace regime, step-by-step".
"We don't have a diplomatic process in place", said Suzanne DiMaggio, senior fellow at the Carnegie Endowment for International Peace. He is a remarkable champion of human rights.
Since the Singapore summit, which yielded what critics charge was only a vague commitment by Mr Kim towards denuclearisation of the Korean peninsula, the road towards warmer ties has been bumpy. "And we had a very successful morning, so thank you and I am looking forward to our time here at lunch as well", Pompeo said.
More recently, however, Mr Abe has said the only way to improve strained ties is a face-to-face meeting with former global pariah Mr Kim. Pompeo will then travel to South Korea and China to review the negotiations.
South Korean Foreign Minister Kang Kyung-wha told The Washington Post last week that Seoul believed that such a list could spark a long argument between Pyongyang and Washington over verification, which would not be conducive for building trust.
He has also distanced himself from an earlier stated goal of achieving North Korea's nuclear weapons abandonment by the end of Trump's term in January 2021.