IRGC will target US ships in Indian Ocean if fighting resumes, official says

President Donald Trump said his team had a three hour meeting with the Iranian delegation at the U.N. General Assembly on Tuesday, and said Iran faces "potential greatness or obliteration."

Trump's comment came and after he threatened to "annihilate" Iran during his speech to the assembly earlier in the day.

The president told reporters during a bilat with Ukrainian President Volodymyr Zelenskyy, that it was a "very good meeting," and said he couldn't imagine why Iran wouldn't want to make a deal.

"It's a greatness, potential greatness or obliteration. In one case, it's obliteration. And the other alternative is potential greatness. It can be a great country," he said.

Trump later  confirmed that Special Envoy Steve Witkoff or Jared Kushner were the members of his team who met with the Iranians. 

"I can tell you that Steve and Jared met with the mediators on Iran deal. The mediators were here, not the highest level, but did something. A lot of good thoughts. A lot of things are working out very well," Trump said during  the "Shield of the Americas" anti-cartel coalition meeting on the sidelines of U.N. General Assembly. 

-ABC News' Isabella Murray, Fritz Farrow, Michelle Stoddart and Nicholas Kerr

Iran's Foreign Minister Seyed Abbas Araghchi took a few meetings with foreign dignitaries, Iranian officials said.

He met with the Italian Foreign Minister Ignazio Cassis, Kaja Kallas, the European Union’s High Representative for Foreign Affairs and Security Policy, and held talks with Qatar’s Prime Minister and Foreign Minister Mohammad bin Abdulrahman Al Thani, according to Iranian officials.

-ABC News' Desiree Adib

Iran's top negotiator and Parliament speaker Mohammad-Baqer Qalibaf blasted President Donald Trump during a veterans ceremony in Iran.

"Trump can’t impose his power on Iran," he said in his speech.

Qalibaf's speech took place before Trump addressed the U.N. General Assembly and repeated his threat to "annihilate" Iran if it didn't reach a deal to end the war.

Qalibaf pledged that Iran would stand firm and would "withstand whatever warfare" its enemies would impose on it.

-ABC News' Desiree Adib

Addressing world leaders at the United Nations General Assembly on Tuesday, President Donald Trump repeated his threat to "annihilate" Iran if it didn't reach a deal to end the war, though he added that he doesn’t believe there will be an agreement before the midterm elections.

"But I have a big decision to make. Will a deal be made with Iran that lets them rebuild and create a far greater country than it ever was before, maybe one of the greatest in the Middle East or even the world? Or do I annihilate the Islamic Republic and do it quickly, never giving them a chance to kill and destroy people and countries again?" Trump said.

The president's message comes as a core Iranian delegation traveled to New York for the gathering of world leaders.

Read more here.

-ABC News' Fritz Farrow