Pompeo, who spoke with Trump on Wednesday night and with national security adviser John Bolton early Thursday, was accompanied by Andrew Kim, the head of a Central Intelligence Agency unit assigned to work on North Korea, and Mark Lambert, the head of the State Department's Korea desk.
On May 26, Kim had an unannounced meeting with South Korean President Moon Jae-in, who is acting as a go-between for the high-stakes summit between the North and the USA since the recent breakthrough in détente between Seoul and Pyongyang, to get the summit with Trump back on track.
He added: "One major difference is that the current process is a top-down process where Trump himself personally makes the decision "we will do the summit", "we will not do the summit"; and that kind of process may deliver extremely significant outcomes, but at the same time I think that there is a high risk that it would also lead to disastrous outcomes".
His visit comes amid a flurry of diplomatic activity to organise next month's summit, with US Secretary of State Mike Pompeo also meeting Kim's right-hand man Kim Yong Chol in NY late Wednesday.
Lavrov and his North Korean counterpart will discuss bilateral ties, North Korea's nuclear program and other key global problems, the foreign ministry said. "Our secretary of state is having very good meetings".
Malaysia seeking to build island in waters near Singapore
We will make no money at all from the operation. "If we break the agreement, we have to pay a very large sum of money". Singapore's government did not immediately have any comment on Dr Mahathir's reported vow to scrap the project.
The point person for USA preparations, Secretary of State Mike Pompeo, met with Kim Yong Chol, a top adviser to Kim Jong Un and vice chairman of the Central Committee Wednesday. "The people of #NorthKorea can have a brighter future and the world can be more peaceful".
US President Donald Trump announced that he would be "very happy" when he could lift US sanctions against North Korea over the country's nuclear program and missile launches.
Lavrov was the first Russian official to be received by Kim, Russian news agencies said. 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.
Japanese Prime Minister Shinzo Abe has maintained a hard line against the North, calling for continued sanctions and a maximum-pressure campaign on Pyongyang.