Meanwhile, EU foreign policy chief Federica Mogherini said Iran and the remaining parties to the JCPOA have agreed to continue talking, including on economic measures, over how to save the nuclear deal after the USA withdrawal.
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 USA exit from the deal".
Since Trump's shock move in May, Washington has warned other countries to end trade and investment in the Islamic republic and stop buying its oil from early November or face punitive measures.
If Iran can not sell its oil under U.S. pressure, then no other regional country will be allowed to either, said Mohammad Ali Jafari, who commands the Islamic Revolutionary Guard Corps, Iran's most powerful military force.
Iranian officials have said that key for them is to ensure measures that guarantee oil exports do not halt, and that Tehran still has access to the SWIFT global bank payments messaging system or an alternative.
Since the U.S. president pulled Washington out of the historic nuclear deal, European countries have been scrambling to ensure that Iran gets enough economic benefits to persuade it to stay in the deal.
"The U.S. and its partners provide, and promote security and stability in the region", Central Command spokesman Navy Captain Bill Urban said in an email to Reuters.
Under contingencies, the enemies can understand the meaning of Hormuz Strait "either for all, or for none", Jafari stressed.
Top diplomats from Iran and five world powers sat down in Vienna on Friday to hash out what steps are needed to preserve the nuclear deal with Tehran following the withdrawal of the United States.
"Unfortunately, the proposed package lacked operational solution and specific method for cooperation, and featured just a set of general commitments like the previous statements by the European Union".
Foreign Minister Mohammad Javad Zarif, who was with Rouhani in Europe, said on Monday the foiled Villepinte attack was a "false flag ploy" to harm Iran and offered his country's help in investigating the matter.
An Iranian warship and speed boats take part in a naval war game in the Persian Gulf and the Strait of Hormuz, southern Iran April 22, 2010.
Their foreign ministers agreed on an 11-point list of joint goals in Vienna, where the accord was signed three years ago with the aim of stopping Iran from building the atomic bomb in return for sanctions relief that promised greater trade and investment.
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".
Iran has threatened to withdraw from the deal, officially known as the Joint Comprehensive Plan of Action (JCPOA), if it does not receive enough economic guarantees from Europe.