Iran has claimed its nuclear program is for civilian purposes and denies supporting extremists in the region.
Based on Rouhani's order, Foreign Minister Mohammad Javad Zarif is expected to leave Tehran for Beijing on Sunday, May 13 and then to Moscow.
Media captionWhat is the Iran nuclear deal?
President Donald Trump pulled the United States out of the deal on Tuesday, raising the risk of conflict in the Middle East, upsetting European allies and casting uncertainty over global oil supplies.
During their telephone conversation on Friday, Russian President Vladimir Putin and German Chancellor Angela Merkel reiterated their commitment to preserving the landmark nuclear deal with Iran.
National security adviser John Bolton said Sunday he believes European nations will ultimately join the USA and leave the Iran nuclear agreement.
The exit drew swift criticism from the deal's other signatories, including U.S.
"Benjamin Netanyahu placed his chips on Trump and on him leaving the nuclear deal and he is now celebrating big-time with 35 seats".
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Iran's foreign minister embarks on a tour of world powers on Saturday, state media reported, in what is seen as a last-ditch effort to save Tehran's nuclear deal after Washington's withdrawal from the accord.
"China will take an objective, fair and responsible attitude, [and] keep communication and cooperation [up] with all parties concerned", Wang said. Le Maire asked. "Or do we want to say we have our economic interests, we consider we will continue to do trade with Iran?"
Before leaving Iran, Zarif published a government statement via Twitter criticising Trump's "extremist administration" for abandoning "an accord recognised as a victory of diplomacy by the worldwide community".
"But it really is a question mark as to what Europe can do for them in the face of ..."
But 54 percent of respondents said they feared a direct military confrontation with Iran was looming and agreed with officials who said that it would be better "to have the fight now and not at a later stage", the paper said.
Germany and France have significant trade links with Iran and remain committed to the nuclear agreement, as does Britain, and the three countries' foreign ministers plan to meet on Tuesday to discuss it.
Basravi said the Rouhani government's "political health. hangs in the balance" as the administration has "married itself to this deal and championed it as the answer to all" of the country's economic woes.
At the same time, the government said it has tasked the president of the Atomic Energy Organization of Iran with "taking all necessary steps in preparation for Iran to pursue industrial-scale enrichment without any restrictions".