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The two leaders will meet at the end of February following their landmark summit in Singapore last June.
A summit meeting between Trump and the North Korean leader is expected to follow.
Diplomatic negotiations have seemingly stalled.
The leaders of North and South Korea have signed an agreement to form a joint military committee, to denuclearise North Korea’s site, to stabilise the border and start a search for the bodies still to be found from the Korean War.
Kim Jong Un and Moon Jae-in have met for the third time this year.
It's all part of a historic push for peace.
The two countries will discuss denuclearisation.
South Korean members of families separated during the Korean War travelled by coach early Monday for meetings with North Korean relatives. Most haven't seen since they were separated by the turmoil of the 1950-1953 war.
North Korea have returned 55 U.S. soldiers' remains to U.S. soil at an airbase in South Korea.