South Korea’s president said Sunday that North Korean leader Kim Jong Un is committed to “complete” denuclearization and a summit with President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE.

“Chairman Kim and I have agreed that the June 12 summit should be held successfully, and that our quest for the Korean Peninsula’s denuclearization and a perpetual peace regime should not be halted,” Moon Jae-in told reporters in Seoul, according to Reuters.

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Moon made the remarks after a surprise meeting between the two Korean leaders on Saturday at the Demilitarized Zone.

Trump, meanwhile, hinted just days after canceling the summit with Kim that a meeting with the North Korean leader is still possible.

"I just want to mention we're doing very well in terms of the summit with North Korea. Looks like it's going along very well," Trump told reporters at the White House late Saturday.

"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," Trump said. "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."

Trump also said that there is "a lot of goodwill" on the North Korean side.

"I think people want to see if we can get the meeting and get something done," he said.

Trump in a letter to Kim last week canceled the summit, planned for June 12 in Singapore, and called his withdrawal a "tremendous setback."

"I believe this is a tremendous setback for North Korea and, indeed, a setback for the world," Trump wrote in the letter.

“Some day, I look very much forward to meeting you,” he added, addressing Kim. “If you change your mind having to do with this most important summit, please do not hesitate to call me or write.”