US and North Korean officials have reportedly been hashing out terms of the agreement through back channels led by CIA Director Mike Pompeo - Trump's nominee to replace Secretary of State Rex Tillerson.
Quoting various US officials, the report said a team at the Central Intelligence Agency, led by its Director Mike Pompeo, has been working through back-channels to make arrangements for the high-profile talks.
But Pyongyang has not broken its public silence on the summit, which USA officials say is being planned for May.
The Mongolian capital Ulaanbaatar has also been raised as a possible location. There was no immediate word on the possible venue for the talks, which would be the first ever between a sitting USA president and North Korean leader. "If there were such talks, we think it's a positive move".
Trump has traded barbs with the North Korean leader for much of his time in office as Pyongyang pursues development of nuclear weapons capable of hitting the United States.
Matthew Pottinger, the top Asia official on the National Security Council, is also involved in co-ordinating the talks, and John Bolton, who will take over the role as Mr Trump's principal adviser on national security, is also expected to play a major role in planning the summit meeting.
Michael Pompeo, the U.S. Secretary of State, and the team from the Central Intelligence Agency are dealing with the preparations to the summit.
Last week, Trump told associates that he was looking forward to the summit, which he agreed to on the spot when presented the invitation from Kim. North Korea had relayed that proposal to the United States, according Japanese newspaper Asahi Shimbun.
Analysts echoed that the efforts show that the United States intelligence agencies are taking the lead for summit preparations, but expressed skepticism whether such moves were headed by the North's Reconnaissance General Bureau, which deals with clandestine operations against South Korea.
Cliff Kupchan, chairman of Eurasia Group risk consultancy, said North Korea's reported commitment to discuss "de-nuclearisation" significantly increases the chances that Mr Trump will meet Mr Kim.
According to the report, American officials are said to have spoken several times with their North Korean counterparts, and even met up with them up to three times to discuss preparations.