Officials wouldn't say that the June 12 Singapore summit was back on, but preparations on both sides of the Pacific proceeded as if it were.
As for results, Nebenzia told reporters at United Nations headquarters in New York, "Don't expect that it happens overnight". He says Russian Federation "will support it of course, and especially meaningful agreements to be reached there".
Mr Moon said he told Mr Kim that Mr Trump has a "firm resolve" to end hostile relations with North Korea and initiate economic cooperation if Kim implements "complete denuclearisation".
"No matter how experienced and knowledgeable these officials are, they will not be able to change the fundamental challenge between the United States and North Korea over its status as a nuclear power".
China, North Korea's longtime ally and chief trading partner, has sought to position itself as a key intermediary in talks over Pyongyang's nuclear weapons program.
North Korean leader Kim Jong Un and South Korean President Moon Jae-in have met for the second time in a month to discuss peace commitments they reached in their first summit and Kim's potential meeting with President Donald Trump.
"Our United States team has arrived in North Korea to make arrangements for the Summit between Kim Jong Un and myself", Trump tweeted.
The White House said Kim is scheduled to meet Secretary of State Mike Pompeo, who recently twice visited Pyongyang.
On Sunday U.S. negotiators, headed by Washington's ambassador to the Philippines Sung Kim, began meeting North Korean counterparts in the truce village of Panmunjom that divides the two Koreas.
The summit had been scheduled for June 12 in Singapore, but Trump wrote a letter to Kim Jong Un last week saying he had made a decision to "terminate" the meeting.
On Sunday, the Wall Street Journal quoted two USA administration officials as saying that Washington was readying a major new sanctions push against North Korea but could hold off on implementing it to avoid disrupting the delicate talks to revive the summit.
"Separately, Joe Hagin, White House Deputy Chief of Staff, and the U.S. pre-advance team are in Singapore coordinating the logistics of the expected summit", she further added.
When Kim Yong Chol lands in NY this week, he will become the most senior North Korean envoy to hold talks with American officials on USA soil in 18 years.
Sanders said that since the president's letter, "the North Koreans have been engaging" with the U.S. State Department spokeswoman Heather Nauert added the secretary plans to make a two-day trip to NY starting Wednesday.
US Secretary of State Mike Pompeo (L) will meet in NY this week General Kim Yong-chol amid intensifying US-North Korean summit preparations, the White House says.
Trump announced that Kim Yong Chol was coming to NY for talks with Pompeo in a tweet on Tuesday in which he said he had a "great team" working on the summit.
"There are meetings going on as we speak", Trump said.
Trump's tweet offered praise for the longtime US adversary, and the latest signal that his concerns about the North's stance toward the summit have been allayed. "Thank you all very much we appreciate it. Congratulations everybody". Kim Young Chol, the vice- chairman of North Korea, heading now to NY.
Officials also told NBC News that the report stated that Kim might be willing to open a Western hamburger franchise in the capital of Pyongyang as a gesture of goodwill toward Trump.