Moreover, the dispatching of one United States diplomatic team to Singapore, where the June 12 summit was scheduled to take place, and another to the North Korean side of the Korean Peninsula's demilitarized zone for meetings Tuesday with senior North Korean officials, underscored the intensive efforts under way to put the summit back on track.
"What Kim is unclear about is that he has concerns about whether his country can surely trust the United States over its promise to end hostile relations (with North Korea) and provide a security guarantee if they do denuclearization", Moon said.
Japan's United Nations ambassador says "maximum pressure" should be maintained on North Korea until it takes concrete actions toward eliminating its weapons of mass destruction. The 30-member team is reportedly led by White House deputy chief of staff Joe Hagin and special assistant to the president Patrick Clifton.
China's foreign ministry said it had no information to offer on any North Korean officials travelling to the United States via Beijing.
In New York, Kim Yong Chol is expected to meet with U.S. Secretary of State Mike Pompeo. Representatives from North Korea will arrive in Beijing where you will visit Singapore.
South Korea's presidential office said Moon will personally announce the outcome of Saturday's summit with Kim on Sunday.
He crossed into North Korean territory with Allison Hooker, the Korea expert on the White House National Security Council.
South Korean President Moon Jae-in, who has lobbied hard for nuclear negotiations between Trump and Kim, met with the North Korean leader in a surprise meeting on Saturday in an effort to keep the summit alive. So we're looking at June 12th in Singapore. In his Sunday press conference, Moon said that the meaning of denuclearization was a question the US and North Korea needed to decide without South Korea's help.
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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.
But she stopped short of saying the meeting had been reinstated after Trump canceled it last week in a letter to Kim, citing "open hostility" in North Korean statements.
South Korean media speculated that Mr Pompeo could make a third trip to Pyongyang after Kim Yong Chol's USA trip.
Kim also said he was committed to meeting Trump, according to Moon.
A USA official told Reuters that Sung Kim, the former US ambassador to South Korea and current ambassador to the Philippines, was leading the American delegation to meet North Korean officials at the border.
Earlier, the U.S. State Department said U.S. and North Korean officials had met at Panmunjom, a village in the Demilitarized Zone (DMZ) that runs along the heavily armed border between North and South Korea.
A US delegation is meeting with North Korean officials in the demilitarized zone on the Korean peninsula while a separate team led by Joe Hagin, a White House deputy chief of staff, is in Singapore coordinating logistics for the meeting, Sanders said.