A senior American official said that one of themain issuesTrump wants to see addressed is the "sunset clause" of the nuclear deal, which ends some of the restrictions put on Iran's nuclear program within ten or fifteen years of its signing date.
Under the accord, Iran slowed its nuclear programme in exchange for an easing of international economic sanctions.
The Iranian Ministry of Foreign Affairs on Saturday criticised the fresh sanctions imposed by the US by calling them illegal and hostile, and warned that they would receive a serious reaction by the Islamic republic.
The biggest name included in the new sanctionswas Sadeq Larijani, head of the Iranian judiciary and brother of Ali Larijani, who is speaker of the Iranian parliament. The enormous financial windfall the Iranian regime received because of the deal - access to more than $100 billion, including $1.8 billion in cash - has not been used to better the lives of the Iranian people.
He also urged Iran to continue to fulfill its commitments under the JCPOA.
Representatives from six world powers and Iran attend a meeting on Iran's nuclear deal in Vienna, Austria, on July 21, 2017.
"I don't think that anybody has produced a better alternative to the JCPOA as a way of preventing the Iranians from going ahead with the acquisition of a military nuclear capability", he said.
"This is a last chance".
Trump, who has sharply criticised the deal reached in Barack Obama's presidency, had chafed at having to once again waive sanctions on a country he sees as a threat in the Middle East.
The US president on Friday reluctantly agreed to waive sanctions against Iran that were lifted as part of the landmark deal, but said it would be the last time he issued such a waiver unless conditions were met.
Chairman of Russian Federation Council's Foreign Affairs Committee Konstantin Kosachyov slamed the U.S. attempt to review the JCPOA as a dangerous violation of international law.
"If the president gets what he wants from the European, then he's willing to stay in the deal and keep waiving the sanctions", said a White House official.
Iran says its nuclear programme is only for peaceful purposes.