By Joyce Lee
SEOUL (Reuters) - North Korean leader Kim Jong Un and U.S. President Donald Trump agreed at their meeting on Sunday to push forward dialogue for making a new breakthrough in the denuclearisation of the Korean peninsula, North Korean state media said on Monday.
Trump became the first sitting U.S. president to set foot in North Korea on Sunday when he met Kim in the Demilitarized Zone (DMZ) between the two Koreas and agreed to resume stalled nuclear talks.
"The top leaders of the two countries agreed to keep in close touch in the future, too, and resume and push forward productive dialogues for making a new breakthrough in the denuclearization of the Korean peninsula and in the bilateral relations," KCNA news agency said.
The meeting, initiated by a Tweet by Trump that Kim said took him by surprise, displayed the rapport between the two, but analysts said they are no closer to narrowing the gap between their positions since they walked away from their summit in February in Vietnam.
Kim said it was the good personal relationship he had with Trump that such a dramatic meeting possible at just one day's notice and that the relationship with Trump would continue to produce good results, according to KCNA.
KCNA said that during Trump and Kim's one-on-one chat, the two leaders explained "issues of easing tensions on the Korean peninsula," "issues of mutual concern and interest which become a stumbling block in solving those issues," and "voiced full understanding and sympathy."
The two leaders' "bold, brave decision" that led to the historic meeting "created unprecedented trust between the two countries" that had been tangled in deeply-rooted animosity, KCNA said.
(Reporting by Jack Kim and Joyce Lee; Editing by Peter Cooney and Sandra Maler)