South Korea's president said North Korea is committed to a summit with the US and denuclearization

South Korea Presidential Blue House/Yonhap via Associated Press

In this May 26, 2018 photo provided on May 27, 2018, by South Korea Presidential Blue House via Yonhap News Agency, South Korean President Moon Jae-in, left, is guided by North Korean leader Kim Jong Un, right, at the northern side of Panmunjom in North Korea.

• South Korea's president said Saturday that North Korean leader Kim Jong Un is committed to a US summit and "complete denuclearization."
• South Korean President Moon Jae-in met Kim at the border on Saturday to discuss the summit, which was canceled by Trump the previous day.
• Trump said Saturday that talks between the nations were "going along very well" and that tentatively scheduled summit would still be set for June 12 in Singapore.

South Korea's president says North Korean leader Kim Jong Un remains committed to holding a summit with President Donald Trump and to the "complete denuclearization of the Korean Peninsula."

South Korean President Moon Jae-in met Kim at the border on Saturday for the second time in a month to discuss how to keep Kim's summit with Trump on a track. The Kim-Moon meeting followed a whirlwind 24 hours that saw Trump cancel the highly anticipated June 12 meeting before saying it's potentially back on.

Moon told reporters Sunday that Kim reaffirmed his denuclearization commitment and told Moon he's willing to cooperate to end confrontation for the sake of the successful North Korea-U.S. summit.

Moon says his meeting with Kim was arranged at Kim's request.

Meanwhile, Trump spoke to reporters about the potential summit from the Oval Office on Saturday night, where he had gathered with lawmakers to celebrate the return of Utah man Joshua Holt, who had been jailed in Venezuela for nearly two years and finally freed.

Trump said talks regarding the summit were "going along very well," and that "there's a lot of good will." He added that a summit held in Singapore on June 12 was still the tentative date.

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

Trump added: "We'll see what happens."