Despite the strains since the Trump-Kim summit, high-level talks and visits have continued and there have been some gestures from the North like sending back the remains of some of the USA troops killed during the Korean War in the 1950s.
North Korean leader Kim Jong-un and South Korean President Moon Jae-in will hold their three-day third summit from September 18 in Pyongyang, Seoul said on Thursday, after their envoy met the North Korean leader.
Kim and South Korean President Moon Jae-in will meet in Pyongyang on September 18-20 and will discuss "practical measures" toward denuclearization, Moon's national security adviser, Chung Eui-yong, said on Thursday after meeting Kim a day earlier.
US President Donald Trump pledged Thursday to complete a deal on denuclearizing the Korean peninsula together with North Korean leader Kim Jong Un, signaling that negotiations remain alive after weeks of an apparent deadlock.
Kim believes he's earned the trust of USA though and says that moves such as ending nuclear tests and destroying an underground test site should prove that he's serious about denuclearizing.
North Korean leader Kim Jong-un "reconfirmed his determination to completely denuclearise" the Korean peninsula when he met a high-level South Korean delegation yesterday.
The pledge comes after Trump, frustrated with a lack of progress on disarmament, last month cancelled Secretary of State Mike Pompeo's trip to Pyongyang after the North reportedly sent a belligerent letter to the U.S. leader.
Mr. Moon has made an end-of-war declaration an important premise of his peace agenda with North Korea.
Trump called off a planned visit to North Korea by US Secretary of State Mike Pompeo last month, citing insufficient progress in denuclearisation.
"I can't release it here, but Kim said he wants conditions to be created that will make him feel right about his decision to denuclearize", Chung said.
"There is a still big gap between what the North considers sufficient goodwill gestures, like destroying its missile test stand or a nuclear test site, and what the United States wants, including on-site verification by experts", he said.
At their summit in Singapore in June, Mr. Trump and Kim announced a vague statement saying they were committed to the denuclearization of the Korean Peninsula.
Trump's comments came after Kim reportedly said his faith in the USA president was unchanged and that Pyongyang aimed to achieve denuclearisation within Trump's first term in office, which is due to end in January 2020.
Pyongyang wants the United States to agree to formally end the Korean War, which concluded in 1953 with an armistice, not a peace deal, and reiterated its demand on its foreign ministry website this week.
The milestone meeting resulted in an accord, sealed by Trump and Kim, in Singapore in June, but the talks between Pyongyang and Washington stalled as both sides disagreed on how to carry out the vaguely-worded agreement.
He added that the two Koreas also agreed to continue to advance ongoing inter-Korea talks to ease military tension and decide on concrete plans to establish mutual trust and prevent military clashes.
He added: "Chairman Kim asked us to convey the message to the United States that the USA [should] help create situations where he would feel his decision to denuclearise was a right move".