The deal had been unanimously endorsed by a United Nations Security Council resolution, making it legally binding.
But in general the US sanctions stipulate that to maintain access to the US market, countries and foreign companies must stop trading with Iran.
"And the forms in which these measures are being declared and implemented cannot cause anything but deep disappointment.
"It is not acceptable in our age to pursue a policy based on ultimatums and unilateral demands." Spanish Foreign Minister Josep Borrell concurred, saying he rejected "any kind of position that resembles an ultimatum from anyone and also from the United States.
"This notion of 'you're either with me or against me' is of another era." Lavrov also once again rejected accusations of Russian interference in polls abroad, on the day of crucial US mid-term elections.
"All these accusations are false," he said.
"There is no intervention from Russia in today's elections.
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