Earlier Tuesday, a USA official said Secretary of State Mike Pompeo had no intention of meeting his Iranian counterpart at an worldwide gathering this weekend in Singapore. For his part, Macaire said that the British government supports continued implementation of the nuclear deal.
U.S. secretary of state Mike Pompeo told reporters he was on board with the president's invitation, saying Mr Trump "wants to meet with folks to solve problems".
"I do not have the impression that he is actually seeking a war with Iran", Blanc said of Trump.
He was reacting to President Rouhani, who that day said America "must understand well that peace with Iran is the mother of all peace and war with Iran is the mother of all wars".
"They want to meet, I'll meet".
Iran's parliament announced Wednesday it would hold a special session to question President Hassan Rouhani about the plummeting currency and struggling economy.
"There is the capability to increase this range, but it is sufficient for now as the Americans are present within a 2,000-kilometer radius around the country, and would get a response in the case of any invasion", Jafari said during a Tehran-based conference titled "A World Without Terror".
In May, Trump pulled the United States out of the multilateral deal concluded before he took office, denouncing it as one-sided in Iran's favor.
Besides those restrictive measures, the White House has vowed the "strongest sanctions in history" on Iran unless the country fulfills a list of USA demands.
Mr. Trump appeared to be modeling a meeting with Mr. Rouhani-and the rhetoric around it-after his glitzy Singapore summit with North Korean dictator Kim Jong Un in June.
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Trump would have to agree to return to the internationally-backed nuclear deal with Iran and also would have to suspend new sanctions against Tehran before any talks, Hamid Abutalebi, an aide to Iranian President Hassan Rohani, said on Twitter.
Trump elicited Iran's furor in May when he unilaterally pulled the US out of the 2015 nuclear accord the five permanent members of the UN Security Council and Germany struck with Iran.
Trump has long cast himself as a master negotiator who is most effective when he meets with his counterparts face-to-face.
Shortly before that July 22 tweet, Rouhani had addressed Trump in a speech, saying that hostile USA policies could lead to "the mother of all wars".
Trump said on Monday that he was willing to meet "any time" with Iran's leaders without preconditions.
Iran's foreign ministry spokesman said Trump's offer to negotiate with Tehran contradicted his actions as Washington has imposed sanctions on Iran and put pressure on other countries to avoid business with the Islamic Republic.
No U.S. president has met with an Iranian leader since the Washington cut diplomatic relations with Tehran a year after the 1979 revolution that toppled the shah, a U.S. ally.
Hours before Mr Trump's statement, Tehran ruled out talks with Washington. "I believe in meetings. if they want to meet, we'll meet".
Iran's oil exports could fall by as much as two-thirds due to the sanctions, straining oil markets. The President has been a strident critic of Iran, threatening the regime with "consequences" as recently as July 22, while his administration pursues a strategy that many see as regime change in all but name.
For some analysts, Trump's approach is more moderate than that of some of his top advisers, such as National Security Advisor John Bolton.