Trump said talks regarding the summit were "going along very well", and that "there's a lot of good will".
Moon on Sunday announced the outcome of Saturday's surprise talks with Kim at the truce village of Panmunjom, which were held in an effort to ensure the landmark meeting between Trump and the North Korean leader goes ahead. "That hasn't changed. It's moving along pretty well, so we'll see what happens", Trump told reporters at the White House during a meeting with a USA prisoner freed by Venezuela. Kim may see the sit-down with Trump as necessary to easing pressure from crushing sanctions and to winning security assurances in a region surrounded by enemies.
Moon said on Sunday: "Our journey to the complete denuclearization of the Korean Peninsula and a permanent peace agreement can not be stopped, and we have made a decision to cooperate closely".
He praised Kim Jong-un for taking the initiative to talk, and, comparing the latest meeting to one between friends, he said that's how it should be.
In a letter released by the White House on Thursday, Trump said, "I was very much looking forward to being there with you".
Moon and Kim held talks in the demilitarised zone separating their two nations on Saturday in a scramble to save the June summit. "If we got that done and if we can be successful in the denuclearization of the Korean peninsula, it would be a great thing for North Korea, it would be a great thing for South Korea, be great for Japan and great for the world - great for the United States, great for China".
They agreed to have their top officials meet again June 1 and to set up separate talks between their top generals. He also said that a date of June 12 in Singapore is still being considered for the meeting.
Despite repeated references to "denuclearization of the Korean Peninsula" by the North, it remains unclear whether Kim will ever agree to fully abandon his nuclear arsenal. But he repeatedly refused to answer questions on the specifics of how North Korea would relinquish its nuclear weapons or if they would allow worldwide experts to inspect nuclear facilities. "What is uncertain for him is not his intentions for denuclearization, but Washington's stance of hostile relations with North Korea and whether Washington can secure and guarantee the regime".
"Chairman Kim said Friday afternoon he wanted to meet without any formalities, and I accepted", Moon said Sunday in Seoul.
South Korea was caught off guard by Trump's abrupt cancellation of his summit with Kim, with the U.S. president citing hostility in recent North Korean comments.