Earlier this week, the UN Security Council agreed to tighten sanctions on North Korea, banning its textile exports and capping fuel supplies.
Addressing the General Assembly is a milestone moment for any president, but one particularly significant for Trump, a relative newcomer to foreign policy who has at times rattled the worldwide community with his unpredictability. "The United States is going to work".
In his first general debate speech to the assembly slated for Tuesday, Trump "will urge all states to come together to address grave dangers that threaten us all", such as terrorism and North Korea's nuclear ambitions, according to McMaster.
The U.S. president has a chance to surprise worldwide leaders with a shift toward coalition-building on the world stage, Alterman said, noting Trump's recent outreach domestically to his political opponents in the Democratic Party.
Tensions have risen sharply with both nations since Trump took office and assumed a more confrontational posture than his predecessor, Barack Obama.
"What we have to do is call on all nations, call on everyone to do everything we can to address this global problem short of war", he told reporters at the briefing.
Over the course of four days, beginning Monday, Trump will engage in a speed round of diplomacy that may test his patience for the notoriously factionalized, lethargic institution as well as his preference for one-on-one dealmaking in which the US always holds the strongest hand. A trio of missile launches and a hydrogen bomb test that is the communist nation's most powerful to date.
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The General Assembly "is an incredibly sophisticated dance that doesn't really play to Tillerson's strengths or to the president's strengths", said Jon Alterman of the Center for Strategic & International Studies. "It's kind of like speed dating from hell", he said.
Asked outside if the USA was running out of options when it comes to North Korea, Trump mouthed the word "no" to a reporter.
"The president will meet with the leaders of Jordan, the Palestinian authority, United Kingdom and Egypt", he continued. The White House has played down prospects for a major moment in the Middle East peace process.
US President Donald Trump and his South Korean counterpart have pledged "stronger pressure" on Pyongyang, Seoul said Sunday, after North Korea defied tough new sanctions with a missile test and said it wanted to match American nuclear strength.
Other topics on the agenda include the unstable situations in Venezuela and Syria and the fight against the Islamic State and al-Qaida terror groups.
Trump also wishes to further economic cooperation, investment opportunities and new business ties with other governments around the world.
"This administration's ironclad commitment to free, fair and reciprocal trade and access to markets will be the bedrock of our economic talks", he said.