"President Trump discussed his intention to have a second U.S. -DPRK summit", spokeswoman Sarah Sanders said, using the acronym for the North's formal name the Democratic People's Republic of Korea.
"We're getting along very well".
Three unspecified locations are under consideration, the president said aboard Air Force One as he returned from a weekend trip to Buenos Aires to attend the G-20 summit, Reuters reported.
Even though U.S. President Donald Trump has not been directing too much global attention towards the Korean Peninsula in recent months, relations and cooperation between the two Korean governments is continuing a very encouraging pace.
"I'd like to really advise the North Korean leader that the world is ready" to help his country, Ban told The Associated Press, specifically citing South Korea, the U.S., China, Japan and Russian Federation.More news: Google Hangouts will shut down sometime in 2020
"Both President Trump and I believe that we have achieved significant progress in creating long-lasting peace, proven by the North halting nuclear or missile provocations for the past year", Moon said.
A U.S. think tank said last month it had identified at least 13 of an estimated 20 active, undeclared missile bases inside North Korea, underscoring the challenge for American negotiators hoping to persuade Kim to give up his weapons programs.
Despite the warming ties, it remains unclear whether Kim will make his first-ever visit to the South this year, as Seoul is hoping.
Last November, a North Korean soldier was critically wounded in a jointly controlled area after he fled to the South amid a hail of bullets fired by his former comrades.
Former U.N. Secretary-General Ban Ki-moon urged North Korean leader Kim Jong Un on Monday to take concrete steps toward complete denuclearization and gain the trust of the worldwide community if he wants sanctions lifted.
The South Korean government is optimistic over Kim's visit to Seoul, which he promised during the third inter-Korean summit in September in Pyongyang.