Trump and Moon on Monday signed a new version of the U.S. "He wants to talk about protecting USA sovereignty", while building relationships with nations that "share those values".
"He is looking forward to talking about foreign policy successes the United States has had over the past year and where we're going to go from here", she said.
"If they said, 'No, ' then it would just be enhancing Kim's arguments that the US isn't negotiating in good faith", he said in a telephone interview.
"Companies from both countries will now be able to do business under more stable conditions", Moon said. The South Korean leader also said he hopes the revised agreement with the US will help solidify their cooperation in other areas.
"As you know Kim Jong Un wrote a letter - a lovely letter - asking for a second meeting and we will be doing that", added Trump, who met with Kim in Singapore in June.
In response, North Korean state media described Mr Trump as having the "bark of a rabid dog" and his tweet as being the "spasm of a lunatic". He says details will be announced "pretty soon".
The first historic meeting between the two leaders took place in Singapore in June.
Moon recently met with Kim and brought a message from the North Korean leader for Trump.
Trump praised Kim as "very open" and "terrific", despite the glacial pace of progress toward denuclearization on the Korean Peninsula.
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Not surprisingly, Cruz said he supports President Donald Trump's plan to build a wall at the border and O'Rourke does not. Restaurant management said about 400 people showed up to meet Cruz , who's in a tight race with challenger U.S.
A senior Russian lawmaker who is under USA sanctions is pushing for the release of jailed Russian gun activist Maria Butina during a special visit to NY.
At a meeting with Moon in Pyongyang last week, Kim made a more substantial offer to close facilities at its main nuclear complex at Yongbyon, contingent on the USA making unspecified "corresponding measures".
Slutsky is under US sanctions over Russia's annexation of Crimea, but won special permission to come to NY to attend the United Nations meetings.
Earlier this month, Director of National Intelligence Dan Coats told a conference in Washington that the US intelligence assessment of North Korea's nuclear intentions had not changed despite some symbolic steps by Pyongyang in early June to destroy the entrances to some nuclear testing tunnels and to start dismantling some other equipment.
Nikki Haley, the US ambassador to the United Nations, told reporters in a preview of Trump's visit, that the president's focus "will be very much on the United States", its role and the relations it wants to build. We tried to do step for step.
Redoubling his commitment to "America First" on the most global of stages, Trump will stress his dedication to the primacy of USA interests while competing with Western allies for an advantage on trade and shining a spotlight on the threat that he says Iran poses to the Middle East and beyond.
Trump said Monday he hopes to meet with Kim again "quite soon". El-Sissi said it's an obligation Trump has made clear.
General Assembly in NY this week, adding that declaring a formal end to the Korean War may be a way to provide some security assurance to the North.
The Moon-Trump summit is set to be held Monday, four days after the South Korean president returned home from a three-day trip to North Korea for talks with leader Kim Jong-un.