Iran has vowed to pile pressure on Washington in its bid to obtain access to the global financial system.
In January, world powers led by the United States and the European Union lifted most sanctions on Iran in return for Tehran's curbs on its nuclear program.
But some U.S. sanctions remain, and banks remain prohibited from doing business with Iran because Washington still accuses Tehran of supporting terrorism.
"Iran will definitely put pressure on the United States to pave the way for the cooperation of non-American banks with Iran," Iranian Foreign Minister Mohammad Javad Zarif said during a news conference with visiting EU foreign policy chief Federica Mogherini.
Tehran has repeatedly accused the United States and the European Union of keeping Iran locked out of the international financial system despite last year's nuclear deal.
Mogherini said the EU would welcome its banking system's "engagement" in Iran.
"This would constitute a good basis for our economic cooperation," she added.