"You are the only person who can solve this problem," Moon said to Trump, relaying Kim's words.
Trump, for his part, said: "We are in no rush. We are in no hurry" to bring about a nuclear agreement. US officials are insisting that economic sanctions remain in place against the North until it eliminates its nuclear programme.
Trump said Secretary of State Mike Pompeo has been tasked with bringing about the second summit, despite an assessment by US officials that the North has not followed through on its commitments to take steps toward denuclearisation. Pompeo defended Trump's decision to seek another meeting despite the slow progress.
"We've been at this the other way an awfully long time and failed," he said, adding: "We tried to do details. We tried to do step for step. We tried to do trade for trade. Each of those failed."
"We're bringing the two senior leaders, the individuals who can actually make the decisions that will move this process forward," in hopes they can make a breakthrough, he said.
Trump said the location for the second summit is still to be determined, but officials have said the US leader is holding out hope it could take place on American soil. Such a move would itself present a complex political and logistical challenge for the North Korean leader. His trip to Singapore in June for the inaugural summit was anything but trivial.
Trump has often fondly invoked the Singapore summit, a made-for-TV event that attracted the world's media attention and largely received positive marks from cable pundits — reviews that were not repeated for his summit with Russia's Vladimir Putin in Helsinki the following month.
Trump and Moon on Monday signed a new version of the US-South Korean trade agreement, marking one of Trump's first successes in his effort to renegotiate economic deals on more favorable terms for the US Trump labelled it a "very big deal" and says the new agreement makes significant improvements to reduce the trade deficit between the countries and create new opportunities to export American products to South Korea. He says US automobiles, pharmaceuticals and agricultural products will gain better access to Korean markets.
Even so, some US officials worry that South Korea's eagerness to restore relations with the North — known as its "sunshine policy" — could reduce sanctions pressure on Kim's government, hampering efforts to negotiate a nuclear accord.
The nuclear threat also was on the agenda at Trump's first meeting in New York, a dinner with Japanese Prime Minister Shinzo Abe on Sunday night. Abe stands first among world leaders in cultivating a close relationship with the president through displays of flattery that he has used to advance his efforts to influence the unpredictable American leader.
Trump is set to address the UN General Assembly on Tuesday morning (EDT) and will chair a meeting of the Security Council Wednesday on counter-proliferation. In both venues, US officials say, he is expected to offer a contrast between the path of negotiation chosen by North Korea and that of Iran.
Trump earlier this year bucked allies and removed the US from the 2015 Iran nuclear deal, citing Iran's malign influence in the region and support for terrorist groups like Hezbollah. The next round of tough sanctions on Iran is set to go into effect in November.
Iranian President Hassan Rouhani is in New York to attend UN meetings. US officials said Trump is not seeking a meeting with the Iranian leader, but is not opposed to talking if Iran requests a session.
Rouhani, appearing on NBC on Monday, cited the threat of more US sanctions in stating, "There is no such program for a meeting."
In keeping with his "America First" pronouncements, Trump's return tour to the annual diplomatic summit was eclipsed before it began by domestic political crises. The fate of Trump's second Supreme Court nominee was cast into doubt over the weekend amid new allegations of sexual misconduct. Drama also swirled Monday around the status of his deputy attorney general.
Rod Rosenstein was revealed last week to have floated the idea of secretly recording Trump last year and to have raised the idea of using the 25th Amendment to remove Trump from office. Rosenstein has denied the reports. Trump said he will meet with Rosenstein on Thursday upon his return to Washington.
- AP