Iranian President Hassan Rouhani told the General Assembly on Wednesday that Tehran is in compliance with its global obligations and would not break them.
A day earlier, Zarif had met with counterparts from the six other signatories to the deal - Britain, China, France, Germany, Russia and the United States - on the sidelines of the United Nations General Assembly meetings in NY.
A possible third pillar would involve "open discussions with Iran about the current situation in the region".
Rouhani continued by defending his country's participation in the nuclear agreement and offered a threat directed towards the US, saying that Iran "will respond decisively and resolutely to its violation by any party".
U.S. President Donald Trump meets with Israeli Prime Minister Benjamin Netanyahu in NY, U.S., September 18, 2017. "This would be a serious mistake", the Independent senator said during an address at Westminster College in Missouri.
"We have a lot of issues with Iran, they're...a yard long, the nuclear issue is only one foot of that yard", he said.
In his first speech to the General Assembly on Tuesday, Trump called the accord "an embarrassment" for the United States and hinted he would revisit it.
Trump also sharply criticized the 2015 nuclear deal with Iran, calling it "one of the worst and most one-sided transactions the United States has ever entered into" and signaling that he may be considering pulling the USA out of the deal soon.
Trump's speech drew accolades Netanyahu, who said in a message posted to his prime ministerial Twitter account, "In over 30 years in my experience w/ the UN I never heard a bolder or more courageous speech".
Iranian President Hassan Rouhani, speaking at the same United Nations podium from which the United States yesterday denounced the accord curbing Iran's nuclear programme as one of the 'worst deals ever, ' on Thursday pledged his country's continued adherence to the pact.
The pact between Tehran and six world powers, which calls for Iran to curb its nuclear program in return for relief from economic sanctions, is under threat as Trump must decide by October 15 whether to certify Iran is keeping its end of the bargain.
Rouhani said that by turning their backs on the deal, the USA will "discredit itself globally", and lose the trust of the worldwide community to make negotiations in the future.
The top Iranian diplomat further said that kind of position contradicted the premise of any negotiated deal. Iran, he said, would "not be the first" to violate the deal.
The report also stated that Trump's goal during this period is to attempt to get the American allies on board to push for a renegotiation on some of the provisions of the nuclear deal which was reached by the Obama administration in 2015.
The deal sets limits for Iran's nuclear activities and allows regular checks on all installations within Iranian territory.
Inspectors from the United Nations nuclear watchdog agency the IAEA, which monitors the deal's implementation, have found Iran consistently in technical compliance.
"The President really wants to redo that deal".