Nadal scores crushing straight-set win over American teenager Darwin Blanch as Rublev ends four-match losing streak
"They also discussed the upcoming second summit between US President Donald Trump and Chairman Kim and refined options for the location and date of that next summit," the statement read.
Pompeo and Kim also agreed to instruct their respective working-level teams to meet soon to intensify discussions on the key remaining issues to deliver on the Singapore Summit Joint Statement.
In addition, Kim invited inspectors to visit the Punggye Ri nuclear test site to confirm that it has been irreversibly dismantled, the State Department said.
"President Trump looks forward to continuing to build upon the trust established with Chairman Kim in Singapore and anticipates meeting again soon," it added.
In a related development, North Korea is demanding the US take steps to secure Pyongyang's trust before its denuclearization.
"Without any trust in the US there will be no confidence in our national security and under such circumstances there is no way we will unilaterally disarm ourselves first," North Korea's Foreign Minister Ri Yong Ho told the UN General Assembly last week.
Pompeo was joined by US special representative on North Korea issues Stephen Biegun, and Kim was joined by Kim Yo Jong, first vice department director of the Central Committee of the ruling Worker's Party of Korea (WPK), the statement said.
This has been his third tour to North Korea since he became the US secretary of state.
Pompeo met with Kim on Sunday and arrived in Seoul later. He will also travel to Beijing.
While speaking with South Korean President Moon Jae-in before the media, Pompeo said that he and North Korean side "had a good, productive conversation".
For his part, Moon said that "I dearly hope that your latest visit, as well as the upcoming US-North Korea summit, which I hope will be happening soon, will make an irreversible and decisive progress in terms of complete denuclearization on the Korean Peninsula as well as the peace process."
Nadal scores crushing straight-set win over American teenager Darwin Blanch as Rublev ends four-match losing streak
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