The handwritten invitation to President Moon was delivered by Mr Kim's influential sister, Kim Yo-jong, at a landmark meeting in the presidential palace in Seoul, as the Games opened on Saturday.
South Korean President Moon Jae-in is also going to have lunch with the pair - Kim Yong Nam and Kim Yo-Jong - on Saturday. Moon had said "let's create conditions to make it happen", the official said, an indication that Moon was likely to accept the invitation. "An early resumption of dialogue between the U.S. and the North is needed also for the development of the South-North Korean relationship", he said, according to his spokesman.
Pence was reported to have said he reached the new understanding with South Korean President Moon Jae-in, who has been pushing for diplomatic solution to the standoff over North Korea's nuclear and missile programs, in two substantive conversations during his visit to South Korea. He criticized the Trump administration for straining too hard to signal disgust of Kim Jong Un's government.
But North Korea's awful record on human rights and the growing threat from its nuclear weapons program appeared out of mind.
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Sputnik: North Korean leader reportedly invited South Korean president to Pyongyang.
Leaders of the two Koreas have only meet twice since the peninsula was divided in 1948.
In 1991, Seoul and Pyongyang had formed a joint team for an global table-tennis championship, and for a youth soccer tournament in 1991. Warmbier was jailed in North Korea for over a year after he was accused of tearing down a propaganda poster at the Yanggakdo International Hotel.
The ceremony was held at the PyeongChang Olympic Stadium in South Korea's eastern county of PyeongChang.
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Seating plans shown on television had Pence seated directly opposite the North's Kim Yong Nam at the reception in Pyeongchang. US Vice-President Mike Pence, sitting a few seats away in the same Opening Ceremony VIP booth, looked stony faced as the scene unfolded.
The North Korean delegation is set to return home Sunday.
The liberal Mr Moon is keen to improve inter-Korean ties, even at the risk of jeopardising relations with the U.S. and Japan.
The meeting comes after the USA warned against engagement with Pyongyang. And, you know, President Moon, has appreciated that.
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