It also threatened to go further and abandon more nuclear commitments unless the remaining partners - Britain, China, France, Germany and Russian Federation - help it to circumvent sanctions, especially to sell its oil.
On the anniversary of the U.S. withdrawal, Iran gave a 60-day deadline to the remaining signatories of the deal - China, France, Germany, Russia and the United Kingdom - to protect it from USA sanctions.
Iran has denied any intent to develop nuclear weapons.
Iran on Sunday said that the supertanker seized by Britain's Royal Marines earlier this week off Gibraltar was not transporting crude oil to Syria as has been claimed by the UK. The strikes were scrapped last minute by President Trump.
The scare came after Iranian cleric Mohammad Ali Mousavi Jazayeri said Britain should be "scared" about Tehran's possible retaliation for the seizure of the Grace 1. Iran has repeatedly warned Europe in recent weeks it would begin walking away from the accord unless alternative plans were made from within the E.U.to secure ongoing alternative trade arrangements with the isolated Islamic republic.
Iran did leave some room for negotiations.
Tehran says it will scale back its obligations under the pact at 60-day intervals.
Morgan delight after United States make it to final
If anyone in the stands on Tuesday was around when that happened, we can only imagine how offended they must've been. You lose, but I thought the way we lost was exactly the way I wanted us to play .
In a telephone conversation Macron said he would consult with the Iranian authorities and worldwide partners concerned with a view to resuming talks involving all concerned parties to bring about the "necessary de-escalation" of the situation, the Elysee palace added.
The statement did not clarify why July 15 or elaborate further.
Under that so-called snapback mechanism, if a series of steps created to resolve differences fails, sanctions in all previous United Nations resolutions would be re-imposed.
"We have shown that we will never keep silent when faced with bullying", Jazayeri said.
Discussions with European powers are continuing and ministerial-level talks are planned later this month, he said.
Under the 2015 atomic accord, Iran agreed to enrich uranium to no more than 3.67%, which is enough for peaceful pursuits but is far below weapons-grade levels of 90%. Meanwhile, Iran sees a supertanker's detain as "an illegal seizure", which could cause an increase in tensions in the region.
"We strongly urge Iran to stop and reverse all activities inconsistent with its commitments under the JCPOA, including the production of low enriched uranium beyond the respective JCPOA stockpile limit", Kocijancic said.
Long-tense relations between Tehran and Washington took a turn for the worse in May 2018 when Trump pulled out of the 2015 nuclear deal reached before he took office, and reimposed sanctions.
Hopes for saving the faltering deal appear increasingly dim, as the Europeans have been unable to offer Iran any effective way around USA sanctions.