One clear victor from the diplomatic back-and-forth in recent months is Kim: The North Korean leader derives enormous domestic benefit from being seen as a respected head of state meeting with a USA president and his top deputies, and not just the dictator of a rogue, isolated regime. North Korea has offered conditionally to close the site, but has not made a public comment on its inspection.
China's public show of displeasure represented one of the strongest signs yet that the widening list of disputes between the USA and China could undermine their cooperation on North Korea.
KCNAsaid "there was an agreement on the issue of holding the working negotiation for the second DPRK-U.S. summit talks as early as possible, and relevant procedure-related issues and ways were also discussed".
In Seoul, Pompeo said he and Kim had agreed to soon begin working-level talks on details of denuclearisation and placement of global inspectors at one of North Korea's main nuclear facilities. On their soil also, ' Trump said.
Pompeo told reporters in Pyongyang the two "had a great, great visit" and that Trump sent his regards. "We made significant progress".
Since the summit, the archbishop said he has met with Francis.
The President said that a second summit "is happening" and that the "timing won't be too far away". When Pope Francis visited South Korea in 2014, he held a mass in Seoul dedicated to reunification of the two Koreas.
"Kim Jong Un expressed satisfaction over the productive and wonderful talks with Mike Pompeo at which mutual stands were fully understood and opinions exchanged", KCNA said.
"Chairman Kim was very clear yesterday in our conversation about the things that we need to do between the United States and the DPRK", Pompeo described. "We require that the United States stop such misguided actions". Choe was out of the country when the Americans arrived - meeting officials from China and Russian Federation. Kim's father, Kim Jong Il invited then-Pope John Paul II to visit the country in 2000, which the Vatican declined because Catholic priests are prohibited from being in North Korea.
Responding to Wang's remarks, Pompeo said he wanted to come to Beijing to "have discussions". He pledged the Trump administration would coordinate and unify its strategy for denuclearisation with its allies. Japan has been wary of the initiative, but South Korea has embraced it.
Speculation continues as to whether Chinese President Xi Jinping will visit North Korea in return.
Meanwhile, in Washington, foreign relations experts noted that with 90 percent of North Korea's exports going through China, Beijing is the one calling the shots.
Pompeo, however, played down the differences.
"I would certainly expect so", the official said.
The two countries have, however, been in a standoff over what the term denuclearisation means. 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.
"We will not forget America's help and support to China in modern and contemporary history, but Mr. Pence can not be "superior" for having helped China previously", Zhu said.
The KCNA said that Kim also expressed "will" and "conviction" to make progress on issues of mutual concern, apparently indicating the denuclearization talks that have nearly been stalled since the June summit in Singapore. North Korea has among the world's worst human-rights records and operates a network of political prison camps where survivors have said they were subjected to torture, forced labor and starvation. It has not taken any steps to halt nuclear weapons or missile development. Statistics on the North side of the border, however, remain far more murky.
U.S. Secretary of State Mike Pompeo and Chinese Foreign Minister and State Councillor Wang Yi aired their grievances in the open on Monday during a brief visit to Beijing by Washington's top diplomat, amid worsening relations.