(Image source from: Time)

North Korean leader Kim Jong-un has requested a second summit with the United States President Donald Trump and also wants the U.S. Secretary of State Mike Pompeo to visit Pyongyang shortly, according to South Korea's president.

Speaking at a news conference upon his return to Seoul on Thursday, Moon Jae-in said Kim told him during his three-day summit in Pyongyang that he wanted to hasten the process of denuclearization.

"Kim Jong-un expressed his wish that he wanted to complete denuclearisation quickly and focus on economic development," Moon said.

"He said he hoped Mike Pompeo would visit North Korea soon, and also the second summit with Trump would take place in the near future, in order to move the denuclearisation process along quickly."

He also said he would carry a private message from Kim for Trump when he meets the U.S. president in New York City next week at the United Nations General Assembly.

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Moon will also convey to Trump both his and Kim's desire to obtain a declaration ending the Korean War by the end of this year, he said.

U.S. Concessions

Asked about the specific corresponding U.S. measures demanded by Kim for denuclearisation, Moon said the matter should be discussed between North Korea and the U.S.

"Pyongyang joint declaration did not include any of those specific measures of North Korea and the corresponding actions of the U.S. We discussed some of it, but we did not have it written down so I cannot reveal any of the discussed items with you here," he said.

Al Jazeera's Rob McBride, reporting from Seoul, said Moon's speech gave an impression that he knows very well what Kim wants to receive from the U.S. in return for the closure of its main Yongbyon nuclear complex.

"But he is not revealing that at all, saying he has a role of a mediator. The takeaway that we have so far is that (the situation) is very much in line with what we have expected. North Koreans are not going to act unilaterally, unconditionally. They are going to expect at every level some concessions from the U.S.," he said.

Singapore Meeting

Kim and Trump held a milestone and prominent meeting in Singapore in June, where the North's leader committed to working towards denuclearization of the Korean Peninsula, but then no details were agreed.

By Sowmya Sangam