"We have many things in store", Trump said.
In the 12 months since his last visit to the United Nations, the president has jolted the global status quo by pulling out of the Iran nuclear deal, starting trade conflicts with China and the West and embracing Russia's Vladimir Putin even as the investigation into the USA president's ties to Moscow moves closer to the Oval Office.
Under the new deal, South Korea will double to 50,000 the number of cars each United States carmaker can sell in the Asian nation without meeting local safety standards.
Iranian President Hassan Rohani is also expected to criticize the US for withdrawing from the Iran nuclear deal.
"But given that many earlier incidents were seemingly provoked by human error, these measures are likely to save the lives of soldiers from both sides", he said.
Moon recently met with Kim and brought a message from the North Korean leader for Trump.
"We're bringing the two senior leaders, the individuals who can actually make the decisions that will move this process forward, bring them together so we can continue to make progress towards what the UN Security Council has demanded and what Chairman Kim has promised he would do".
Trump is set to meet with South Korea's Moon Jae-in later Monday to discuss North Korea and trade details.
The comments come a year after Trump used a United Nations speech to threaten to "totally destroy" North Korea and called Kim "rocket man".
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.
If there is a through line to the still-evolving Trump doctrine on foreign policy, it is that the president will not subordinate American interests on the world stage, whether for economic, military or political gain.
"That was a very unsafe time".
Moon's trip to NY is also aimed at explaining the outcome of his third bilateral summit with Kim to the world.
"It looks like we'll have a second summit quite soon", he told reporters. "This is one year later, a much different time".
This year's General Assembly will be Mr. Trump's second meeting since taking office and Pompeo's first since taking over as secretary of state. He's calling for global action to address the illegal movement and abuse of drugs.
Trump and Moon on Monday signed a new version of the U.S.
Trump has alternated between optimism and frustration since his historic June summit with Kim in Singapore, where the two sides announced plans to work toward a general goal of denuclearizing the Korean Peninsula.
Trump's remarks marked a sharp shift since a year ago, when he used his maiden speech at the United Nations to warn North Korea over its nuclear program and said Kim was on a "suicide mission".
Still, Kim remains committed to denuclearization, according to Moon, who said he would debrief Trump on his own meetings with the North Korean dictator just last week.