However, during a phone conversation with French President Emmanuel Macron on Thursday, Rouhani said that the package proposed by European Union leaders "does not meet all our demands", and demanded a "clear action plan from Europe with a timetable so it can compensate for the United States exit from the deal".
During the phone call, the German chancellor said that the discussion on details of the agreement should continue.
"We stand ready to put in action President Hassan Rouhani's latest position that if Tehran were not able to export its crude oil through the Strait of Hormuz, no other country would be able to do so", Jafari was quoted as saying in Iran's state-controlled press.
"Unfortunately, the proposed package lacked an action plan or a clear road map for continuation of cooperation".
In the joint statement, Iran's Mohammad Javad Zarif and other top diplomats reconfirmed their commitment to the deal and its "economic dividends" for Iran, which has suffered worsening financial turbulence since Trump abandoned the accord.
"We prefer to continue to stay in the nuclear deal", he told reporters.
"We must put in place measures that allow Iran to trade as long as it meets its commitments", he told RTL radio in France, cautioning that the new steps may take until November when numerous sanctions take effect.
Speaking also on July 6, German Foreign Minister Heiko Maas said world powers would not be able to fully compensate for companies leaving Iran due to new US sanctions.
Back on May 8, US President Donald Trump announced Washington's decision to withdraw from the Iran nuclear deal (an agreement made in 2015 between Iran, the UK, Germany, China, Russia, the US and France) as, in his words, the agreement left Iran a possibility to create a nuclear bomb bypassing all the restrictions.
Washington has since told countries they must stop buying the OPEC producer's oil from November or face financial consequences.
The pillars of the European Union's strategy are: European Investment Bank lending, a special measure to shield EU companies from US secondary sanctions, and a Commission proposal that EU governments make direct money transfers to Iran's central bank to avoid USA penalties.
As The Guardian notes, the threats "will bring back memories of the latter years of the 1980s Iran-Iraq War, when USA forces attacked Iranian territorial waters after a United States ship struck an Iranian mine".
Beyond the European Investment Bank plan, other elements of the European economic package that Rohani criticized as insufficient include a special measure to shield EU companies from the USA sanctions and a proposal for EU governments to make direct money transfers to Iran's central bank to avoid US penalties. "It's also not just about what the Europeans can do, but also how the Chinese, Russians, Indians, others can contribute".
Lavrov urged new ways of trading with Iran if Washington restores sanctions against Tehran.
"We advise businesses that want to keep investing (in Iran), we want to keep payment systems open, and we want to build security through widening the mandate of the European Investment Bank", he said.
Now, the threat of US sanctions has increasingly darkened the outlook for Iran's economy, helping to stoke a plunge in the Iranian rial this year that has driven up prices and provoked street protests and strikes.