A South Korean envoy walks with North Korean leader Kim Jong Un during their meeting in Pyongyang, North Korea, in this undated photo released on September 6, 2018, by North Korea's Korean Central News Agency.
Chung reported that Kim said he wishes for North Korea and the U.S. to put an end to their seven decades of hostile relations before the end of Trump's first term.
The AP reported that Kim expressed continuing faith in Trump, even as the US has voiced uncertainty about North Korea's willingness to fully abandon its nuclear program.
The North Korean leader reaffirmed his commitment to denuclearization, also promising to continue working with the United States to that end.
"He wanted to end some 70 years of animosity between North Korea and the United States and achieve denuclearization within President Trump's first term", South Korean National Security Office head Chung Eui-yong, who led the one-day trip to Pyongyang, told reporters Thursday in Seoul.
Kim and Trump held a watershed summit in June in Singapore, during which they said they would work toward complete denuclearisation, establish "new" relations, and build "a lasting and stable peace regime" on the Korean peninsula.
The North Korean leader said he is willing to cooperate with both Seoul and Washington on denuclearisation, according to the envoy.
Kim, however, expressed to Chung that he was frustrated by skepticism in the global community over his commitment to denuclearisation.
The carrier, permanently docked in Yokosuka, Japan, last entered South Korea in October 2017, after conducting joint exercises around the peninsula.
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It's unclear, however, how much the U.S.'s allies will cut back on Iranian oil imports. Meanwhile, the price of US WTI crude was 2.05% in the green at $71.23 per barrel.
Mr Chung's visit to Pyongyang came amid growing concerns over a nuclear stalemate between North Korea and the U.S., after talks stalled due to both sides refusing to give in to each other's demands.
Kim noted the dismantlement of his country's only known nuclear test site in Punggye-ri has left the country with no means to stage any more nuclear tests.
To which Trump tweet-simpered in response, "Thank you to Chairman Kim". "We haven't had any nuclear tests, we haven't had any missile tests, which we consider a good thing".
Pompeo, visiting New Delhi, declined to discuss the next steps but said there was a long road ahead in the denuclearisation process.
"North Korea needs the declaration of the end of the war to convince its own officials of denuclearization", Koh said.
North Korea accused the USA of making "unilateral and gangster-like" demands for denuclearization and hampering talks on the end-of-war declaration.
Kim insisted that formally ending the Korean War had nothing to do with USA troops stationed in South Korea, Chung said. But so far, North Korea hasn't even revealed how many nuclear weapons it has or where they are. The U.S. president gave Moon's envoys a message to deliver to Kim Jong Un, who gave the officials a statement to send to the White House.
"It is the case that there is still an enormous amount of work to do".
U.S. Secretary of State Mike Pompeo visited Pyongyang in July, after which North Korea accused him of making "unilateral and gangster-like demands for denuclearization" while showing little interest in ending the war.