North Korea and South Korea will commemorate the 20th anniversary of their joint tour programme at Mount Kumgang, which was suspended earlier due to tensions between the two countries.
Moon and Xi agreed that a second summit between Washington and Pyongyang and a planned visit by North Korean leader Kim to Seoul would be an "important breakthrough" in resolving the situation on the peninsula, according to South Korea's presidential office.
From journalists to missionaries, most Americans held by North Korea have been released after high-profile interventions.
In May, North Korea released three American detainees in a goodwill gesture weeks ahead of leader Kim Jong Un's June 12 summit with President Donald Trump in Singapore.
Pyongyang is seeking reciprocal measures for steps it has already taken, including the testing moratorium, the release of three American detainees and the return of remains belonging to USA servicemembers killed in the 1950-53 Korean War. During the third inter-Korean summit in September, Kim offered to close his Yongbyon nuclear testing facility in exchange for what was called at the time "corresponding measures". The future of USA worldwide relations in the Asia Pacific are still very much uncertain. The US has long considered itself the guardians of Western democracy, even when not specifically involved in a particular conflict, and so any external use of nuclear weapons must be controlled.
North Korea has chose to expel a USA citizen who illegally entered the country last month, Pyongyang's official KCNA news agency said on Friday.
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Secretary of State Mike Pompeo on Friday expressed appreciation for the co-operation of North Korea and the embassy of Sweden - which handles consular issues for US citizens in North Korea - "in facilitating the release of an American citizen".
China isn't as committed to North Korea's denuclearization as Washington or Seoul and aims to weaken the South Korea-U.S. alliance, according to an annual report on the U.S. The Chinese President told Moon that he would "make time" to visit North Korea next year. This begins to create questions such as, "Is it necessary for the U.S.to be threatened by their weapons?" as well as, "why isn't it possible for other states outside of the U.S.to have their own nuclear capability?"
The US State Department played down the announcement, saying it was "confident" that the negotiation process remained on track with North Korea.
As global sanctions on North Korea remain intact, China is Pyongyang's sole major ally and a key economic lifeline for the isolated country. Trump's peace deal has been somewhat successful because North Korea has halted its missile testing practice in recent months.
The U.S.is demanding final, fully verified, irreversible denuclearization of the North before any sanctions are lifted.
It was Kim's first publicized visit to a weapons test site since the North test-fired an intercontinental ballistic missile toward Japan on November 28.
Mr Kim said the weapons system tested was one that especially interested his father, Kim Jong-il, who led its development personally before he died in 2011.