Trump asks what a third North Korean summit would yield

US President Donald Trump and his South Korean counterpart Moon Jae-in held a summit in New York on Monday to discuss plans to restart US-North Korea talks, as Seoul's spy agency said the negotiations could take place in two to three weeks.

Negotiations aimed at dismantling North Korea's nuclear and missile programs have stalled since a failed second summit between Trump and its leader Kim Jong Un in February. 

Pyongyang has said it is willing to restart working-level talks in late September, but no date or location have been set.

Trump and Moon discussed ways to achieve practical results in the US-North Korea working-level talks, Moon's office said, while Trump expressed his confidence that Kim will fulfill commitments made during the two summits, according to a White House statement.

"There's been no nuclear testing at all," Trump told reporters as he met Moon on the sidelines of the UN General Assembly.

"And the relationships have been very good. ... We want to see if we can do something. If we can, that'll be great. And if we can't, that's fine, we'll see what happens."

Moon said he hopes working-level negotiations between the United States and North Korea will be held soon to prepare for another summit, but Trump said he would want to know what would result from a third summit with Kim before agreeing to hold it.

"Right now, people would like to see that happen. I want to know what's going to be coming out of it. We can know a lot before the summit takes place," Trump said.

In Seoul, South Korean lawmakers briefed by a spy agency on Tuesday said Pyongyang and Washington could resume working-level talks within two to three weeks.

If both sides make progress, Trump and Kim could meet again for a summit, before which Kim may visit China for the fifth summit with President Xi Jinping, the lawmakers told reporters after a briefing by the National Intelligence Service.

During their meeting, Trump and Moon reaffirmed their previous pledge not to use force against North Korea, and if North Korea denuclearizes, to provide a bright future for the country, a senior official at South Korea's presidential Blue House said.

However, there was no mention of a "new method" of approach on North Korea's denuclearization during their meeting, while they talked about how sanctions must be maintained, the senior official said.

Military costs 

North Korea's chief nuclear negotiator, Kim Myong Gil, last week welcomed Trump's suggestion for a "new method" in talks on Pyongyang's nuclear weapons programs, saying he wanted to be "optimistic" the United States would present the "right calculation method".

Last week, Trump distanced himself from a suggestion by his former national security adviser, John Bolton, for a Libyan model of denuclearization for North Korea, saying it "set us back very badly". Bolton was fired this month, with Trump naming Robert O'Brien as new national security adviser.

Before his sit-down with Moon, Trump said the two would discuss North Korea's repeated launches of short-range missiles in recent weeks.

"We didn't have an agreement on short-range missiles. And a lot of people and a lot of countries test short-range missiles," Trump added. 

"There's nothing spectacular about that."

The meeting came as the allies hold discussions in Seoul on renewing a deal on how to share costs for the upkeep of American soldiers in South Korea.