"We have a good relationship".
"The message is that President Trump has very favourable views toward Chairman Kim and he likes him", Mr Moon told reporters aboard a flight from Argentina to New Zealand, where he started a three-day state visit on Sunday.
Kim's potential visit to Seoul is part of the summit agreement between Moon and Kim in September in Pyongyang to reciprocate Moon's trip.
"We're getting along very well".
Trump said earlier in October that his meeting with Kim would be held after the midterm Congressional elections, and the venue of his second meeting with Kim had been narrowed down to "three or four" locations.
German Chancellor's plane makes emergency landing in Cologne
The delay forced Merkel to miss the start of the G20 summit and a scheduled meeting with President Donald Trump . The captain announced the plane's electronic systems had failed, rendering it unable to cross the Atlantic.
Mr Kim and Mr Trump pledged at their first meeting to work towards denuclearisation, although the two sides have since made little progress agreeing on a timeline or concrete steps.
But beyond surveys and tape-cuttings, the Koreas can not move much further along without the removal of US -led sanctions against the North, which isn't likely to come before it takes firmer steps toward relinquishing its nuclear weapons and missiles.
North Korea was angered by Washington's refusal to ease sanctions and warned it could resume its nuclear programme.
It is also preparing hotels for the North Korean delegation to stay at when the possible visit to Seoul is confirmed. "It is North Korea which should clearly state and show by taking actions, then I am sure that there will be no reason why the Security Council of the United Nations will continue to impose the sanction on North Korea".
The pair "reaffirmed their commitment to achieve the final, fully verified denuclearization" of North Korea, Trump´s spokeswoman Sarah Sanders said.
Before that, however, the president had mocked the communist ruler, calling him "Little Rocket Man", while Kim had in turn said Trump was a "mentally deranged US dotard", a word that suggests senility.
When asked if Kim would come to the USA for a visit apart from the second summit, Trump said "at some point" he will.