On May 8, US President Donald Trump pulled his country out of the Joint Comprehensive Plan of Action (JCPOA), a nuclear deal between Iran and six world powers that was reached in 2015 after two years of talks.
According to Lavrov, the decision particularly concerns small and medium-sized companies.
In November the USA sanctions against Iran will cover the supply of Iranian oil.
EU countries also gave European firms legal cover to operate in Iran despite the United States pullout in May from the 2015 nuclear deal.
French carmaker Renault, which does not sell cars in the United States, has said it will remain in Iran despite the sanctions.
Iran and the other signatories to the 2015 agreement have been scrambling to preserve the limited trade deals they were able to secure since it was signed.
However, he warned that if the European sides failed to properly fulfill their commitments, Iran would take its own measures to counter the USA withdrawal from the JCPOA.
"About three weeks to go for the first set of U.S. sanctions on Iran to kick in from August 6, a delegation from the U.S. is arriving New Delhi to engage on the Iranian issue".
India and Iran today deliberated on ways to deal with the possible impact on oil trade between the two countries due to the U.S. sanctions on import of Iranian petroleum products.
Shipping to Iran and ports in the country are also coming under the U.S. sanctions.
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One day later, he insisted, reading from a script, "I have full faith and support for America's great intelligence agencies". Democrats held a separate news conference Tuesday in which some described Trump's comments in Helsinki as "treason".
India side informed Iranian authorities that it has not taken any final decision on "complying" with the USA sanctions and would like to continue engagement with the Americans.
Meanwhile, Iran has called on the UN's top court to order the U.S. to immediately lift the re-imposed sanctions, claiming they are causing "irreparable prejudice", the tribunal said Tuesday.
The German magazine Der Spiegel as well as the Washington-based Institute for Science and International Security (the good ISIS) have reported - based on extensive research- that Iran is probably operating an underground nuclear facility in Qusayr in the Qalamoun Mountains near the Lebanese border.
"We have just received the answer, and it's negative", he said.
The New York Times showed a part of the Iranian archive to Robert Kelley, a nuclear engineer and a former inspector of the International Atomic Energy Agency, the UN's nuclear watchdog.
French Economy Minister Bruno Le Maire had already said the United States would not grant Europe its request.
In response to another question on whether there was any development on the U.S. reaching out to India over the issue of reduction of imports from Iran, Kumar said, "They had indicated".
Analysts say European firms which have rushed to invest in Iran after the lifting of sanctions over the past three years have the most to lose from the renewed sanctions.
The EU fears that billions of dollars' worth of trade could be jeopardized as a result of Washington's new sanctions.