"Well, I am really pleased for this opportunity".
The North has accused Washington of making "unilateral and gangster-like" demands on denuclearization and has insisted that sanctions should be lifted before any progress in nuclear talks.
"We will have a fully coordinated, unified view of how to proceed, which will be what is needed if it is going to be successful in denuclearizing North Korea", Pompeo told Abe in Tokyo.
U.S. Secretary of State Mike Pompeo said Monday that he and North Korean leader Kim Jong Un made "significant progress" toward an agreement for the North to give up its nuclear weapons.
Nauert's statement made no mention of North Korea's commitment to dismantle the important Yongbyon nuclear facility, a potentially troubling sign for USA negotiators.
Pompeo told reporters in Pyongyang the two "had a great, great visit" and that Trump sent his regards.
"President Trump wants the second meeting, and I think he can nearly spin anything coming out of North Korea to make the second summit happen anyway", said Terry.
Kono also said he and Pompeo didn't go into details of a possible war-end declaration because it's premature while there is virtually no progress in denuclearization.
Last month the North's foreign minister told the United Nations there was "no way" his country would disarm first as long as tough U.S. sanctions remain against his country.
The dovish Moon, who held three summits with Kim this year and also brokered the Trump-Kim summit in Singapore, said Sunday the "whole world" was watching with keen interest the outcomes of Pompeo's trip.
Since Trump and Kim met in Singapore in June, US-North Korea relations have stalled.
Last month, Abe hinted that he was prepared to meet with North Korean leader Kim Jong Un "to break the shell of mutual distrust".
"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. "North Korea summit will create good momentum for a breakthrough in the denuclearization and irreversible progress in the peace process on the Korean Peninsula".
In recent weeks, USA officials have pointed to a recent meeting in Pyongyang between Kim and Moon, when North Korea committed to dismantling a missile-engine-testing site and raised the possibility of doing the same at its Yongbyon nuclear-enrichment facility.
Trump has appeared eager to meet Kim again, even though the two sides are seen far from narrowing their differences.
"North Korea took some steps towards denuclearisation and the United States will face criticism from the worldwide community if it continues to demand complete denuclearisation without any lifting of sanctions", said Yang Moo-jin, a professor at the University of North Korean Studies in Seoul.
The governments of both North and South Korea, however, say that is unrealistic.
The U.S. and Japan have pushed for the North to compile and turn over a detailed list of its nuclear sites to be dismantled as a next step in the process. He said he also hoped to agree a "general date and location" for a second summit.
Recently, Pompeo has angered North Korea by insisting that worldwide sanctions must remain in place until it gives up its nuclear weapons.
United States Secretary of State Mike Pompeo (L) shakes hands with Japanese Prime Minister Shinzo Abe at Abe's office in Tokyo on Saturday. Kim's regime has said it wants to focus on more than just its nuclear program, and that it expects the U.S.to show some flexibility with its demands.
While North Korea blew up the entrances of the tunnels in May and removed the diagnostic equipment, the shafts could be reopened or new tunnels could be excavated if Kim chose to restart underground test blasts, he said.
In the past few days, North Korea has also renewed its demands for sanctions to be eased.
He visited Tokyo on Saturday and will head to Beijing before returning to the USA on Monday.