The meeting piled more pressure on Tehran, a day after the U.S. president used his UN General Assembly speech to accuse Iran of sowing "chaos, death and destruction". "They do not respect their neighbors or borders or the sovereign rights of nations".
National Security Adviser John Bolton issued a striking rebuke to Iran Tuesday, warning its leaders that there will be "hell to pay" if they endanger us citizens or allies.
"Confronting multilateralism is not a sign of strength. We're going to deliver on this commitment (to denuclearise) that Chairman Kim has made to the world".
On other tense subjects, Trump's criticism of Germany's pursuit of a direct energy pipeline from Russian Federation drew a dismissive headshake from a member of the USA ally's delegation, and his mention of the United Arab Emirates, Saudi Arabia and Qatar all in one breath was received with stone-faced expressions by Saudi officials.
His speech, while delivered in a low-key fashion, was nonetheless a thunderous recitation of his "America First" policies.
"Iran's leaders plunder the nation's resources to enrich themselves and to spread mayhem across the Middle East and far behind", Mr. Trump said. "America is governed by Americans". "And we embrace the doctrine of patriotism".
Seated at the center of an arc-shaped table, Trump immediately uttered tough words against Iran, saying that a government with Iran's track record "must never be allowed to obtain" a nuclear weapon.
Rouhani was defiant in his speech to the world body.
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"Didn't expect that reaction, but it's okay", Trump said in response to the laughter.
"One year ago I stood before you for the first time in this grand hall". "Our children are watching". "Those statements yesterday indicate that they're not in that place and it is outrageous for him to say such a thing.
They were laughing with me", Trump said.
The remark led to some murmuring and laughter in the crowd, taking the president slightly aback.
"The Iran deal was a windfall for Iran's leaders".
World leaders and diplomats laughed after Trump boasted that his administration had accomplished more than nearly any other in U.S. history.
Trump added, "So true".
"The world will not have a better friend than Iran, if peace is what you seek".
"The European Union is strong on rhetoric and weak on follow-through".
After attack in Iran, the USA offers a muted response
Ahvaz is in the centre of Khuzestan province, where there have been sporadic protests by the Arab minority in mainly Shi'ite Iran. The separatist group Patriotic Arab Democratic Movement in Ahwaz claimed responsibility for the attack, according to IRNA .
Foes for decades, Washington and Tehran have been increasingly at odds since May.
Trump said that after renewed USA nuclear-related sanctions against Iran come "in full force by early November", the United States will "pursue additional sanctions, tougher than ever before, to counter the entire range of Iran's malign conduct".
'And on behalf of the United States, I'd like to toast to you, and I'd like to toast the United Nations.
On North Korea, Trump called for sanctions to be strictly enforced against Pyongyang - a message directed at Russian Federation and China which are pushing for an easing of punitive measures to reward North Korean leader Kim Jong Un.
Trump had called Kim a "rocket man" bent on nuclear destruction in his United Nations speech past year. "We do not wish to increase tensions - none of the above".
The two leaders are trying to arrange a second summit.
President Rouhani also said he did not request to meet with President Trump.
"We did not and will not interfere in any country´s domestic affairs". Market forces and demand for oil on the worldwide market are likely to mean Iran will continue to find customers to buy its supply.
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American sanctions targeting Iranian oil sales kick in this November.