Photo: The Canadian Press

South Korean President Moon Jae-in 

South Korean President Moon Jae-in said Sunday that North Korean leader Kim Jong Un committed in their surprise meeting to sitting down with President Donald Trump and to a "complete denuclearization of the Korean Peninsula."

The Korean leaders' second summit in a month saw bear hugs and broad smiles, but their quickly arranged meeting Saturday appears to highlight a sense of urgency on both sides of the world's most heavily armed border.

At the White House, Trump said negotiations over a potential June 12 summit with Kim that he had earlier cancelled were "going along very well." Trump told reporters that they are still considering Singapore as the venue for their talks. He said there is a "lot of good will," and that denuclearization of the Korean Peninsula would be "a great thing."

The Koreas' talks, which Moon said Kim requested, capped a whirlwind 24 hours of diplomatic back-and-forth. They allowed Moon to push for a U.S.-North Korean summit that he sees as the best way to ease animosity that had some fearing a war last year.

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 told reporters Sunday that Kim "again made clear his commitment to a complete denuclearization of the Korean Peninsula," and that he told the South Korean leader he's willing to co-operate to end confrontation and work toward peace for the sake of the successful North Korea-U.S. summit.

Moon said he told Kim that Trump has a "firm resolve" to end hostile relations with North Korea and initiate economic co-operation if Kim implements "complete denuclearization."

"What Kim is unclear about is that he has concerns about whether his country can surely trust the United States over its promise to end hostile relations (with North Korea) and provide a security guarantee if they do denuclearization," Moon said.

"During the South Korea-U.S. summit, President Trump said the U.S. is willing to clearly put an end to hostile relations (between the U.S. and North Korea) and help (the North) achieve economic prosperity if North Korea conducts denuclearization," he said.

Moon said North Korea and the United States will soon start working-level talks to prepare for the Kim-Trump summit. He said he expects the talks to go smoothly because Pyongyang and Washington both know what they want from each other.

Kim, in a telling line from a dispatch issued by the North's state-run news service earlier Sunday, "expressed his fixed will on the historic (North Korea)-U.S. summit talks." During Saturday's inter-Korean summit, the Korean leaders agreed to "positively co-operate with each other as ever to improve (North Korea)-U.S. relations and establish (a) mechanism for permanent and durable peace."