The request was made in a letter by Foreign Minister Mohammad Javad Zarif to the European Union's foreign policy chief Federica Mogherini, calling for "a meeting of the joint commission outlined in the nuclear deal... Regarding the recent actions of the United States."
On Thursday, Washington extended the Iran Sanctions Act -- which mostly seeks to limit Iran's oil and gas trade -- for another decade.
Although it received overwhelming support from the US Congress, the act will have no effect since its measures are suspended as long as the nuclear deal remains in place.
Iranian leaders, including supreme leader Ayatollah Ali Khamenei and President Hassan Rouhani, disagree, calling it a "clear violation".
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The nuclear deal allows for the signatories -- Iran, the US, Britain, China, France, Germany and Russia -- to hold a "joint commission" to discuss claims of a violation.
Iran has been frustrated by the limited economic benefits of the accord, which removed many international sanctions in exchange for curbs to its nuclear programme.