South Korean media speculated that Pompeo could make a third trip to Pyongyang and that Kim Yong Chol was carrying a personal letter from Kim Jong-un and might push to travel to Washington to meet with Trump.
In their talks, Lavrov relayed President Vladimir Putin's "warmest regards and best wishes" for Kim's "big endeavours" on the Korean Peninsula. Instead, their pitch is that Pyongyang will gain more security by abandoning its nuclear program, allowing it to escape from the yoke of worldwide sanctions and isolation and concentrate on economic prosperity. Trump, after this letter, expressed willingness to put the June 12 summit back on track. Pompeo also appeared to lower expectations of what might come out of a summit, after a NY meeting with Kim.
Mr Trump cancelled the 12 June summit last week, but both sides agreed to move forward. "The meetings have been very positive".
"Come to Russia, we'll be very happy to see you", Lavrov told Kim in remarks released by the Russian foreign ministry.
North Korean envoy Kim Yong Chol arrives to meet with U.S. Secretary of State Mike Pompeo for talks on nuclear disarmament on Thursday in New York City. However, his comments were the most positive from any US official since Trump abruptly cancelled the meeting last week after belligerent statements from the North.
He also said that North Korea "wanted to do denuclearisation", although the North did not confirm this.
The negotiations in NY, in conjunction with earlier meetings in Singapore and at the demilitarised zone between the two Koreas, Pompeo said, were "putting President Trump and Kim Jong-un in a place where we think there could be real progress made".More news: White House prepared for North Korea summit to take place June 12
"I'd like to see it done in one meeting", Trump said in an interview on Air Force One.
Kim Yong Chol, a close aide of Kim Jong Un and vice chairman of the ruling Workers' Party's Central Committee, is the most senior North Korean official to meet top USA officials for talks in the United States in almost two decades. -North Korea summit kill chances of talks for good? He is the vice chairman of the Workers' Party of Korea Central Committee responsible for South Korean affairs.
North Korea, whose nuclear ambitions have been a source of tension for decades, has made advances in missile technology in recent years but Mr Trump has sworn not to allow it to develop nuclear missiles that could hit the United States.
Kim has rejected previous USA calls for North Korea's unilateral nuclear disarmament and argued instead for a "phased" approach to denuclearisation of the entire Korean peninsula.
On Wednesday, Secretary of State Mike Pompeo met with North Korea's Vice Chairman Kim Yong-chol to discuss reviving the summit.
Pompeo's meeting with Kim Yong Chol in NY is going on at the same time as talks are underway in two other locales. But North Korea flipped on the U.S. in May, blasting Trump officials and saying it was reconsidering the summit. However, these negotiations ultimately failed.
President Donald Trump at the White House on May 16.