Iran's currency plumbed new depths on Monday, dropping past 120,000 rials to the dollar, but Trump's expressed willingness to negotiate with Tehran sparked a minor recovery on Tuesday to 110,000 rials on the unofficial market.
Iran has reacted coolly to the offer, but a former adviser to the country's supreme leader said Tuesday that Tehran should not reject a sit-down out of hand.
'No preconditions, no. If they want to meet, I'll meet anytime they want, anytime they want, ' he said.
No U.S. president has met with an Iranian leader since Washington cut diplomatic relations with Tehran a year after the 1979 revolution that toppled the Shar, a U.S. ally. President Barack Obama broke a three-decade freeze with a phone call to Rouhani in 2013.
Shortly before that July 22 tweet, Mr Rouhani had addressed Mr Trump in a speech, saying that hostile United States policies could lead to "the mother of all wars".
With the USA sanctions looming, the Iranian currency has been in freefall, hitting a new low Monday, at 122,000 rial to the US dollar on the thriving black market.
Foreign Minister Javad Zarif tweeted in response, "COLOR US UNIMPRESSED: The world heard even harsher bluster a few months ago".
Trump has since ordered the imposition of "the highest level" sanctions, some of which will go into effect on August 6 and the rest-including key sanctions on oil, energy, and banking-on November 4.
"I'll meet with anybody", Trump said of a possible meeting with Iranian leaders during a joint press conference with Italy's prime minister.
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But despite Trump's comments about meeting without any preconditions, US Secretary of State Mike Pompeo later listed several demands for such a summit to take place.
Iranian officials have spoken out against US President Donald Trump's offer to meet Iran's leader.
Iran, in turn, has responded with a list of conditions of their own.
He entered a standoff with Iran after pulling out of the Iran nuclear deal and restoring sanctions.
Trump has suggested he could be laying the groundwork for a new nuclear deal. "That dialogue was based on the idea of confidence-building measures and the nuclear deal was an achievement of this effort and it must be accepted". 'Good for the country, good for them, good for us and good for the world. Under "appropriate" conditions negotiation can be helpful, but now such talks would just bring humiliation to Iran, he said, according to IRNA.
"We've said this before", said the former Central Intelligence Agency chief. We got our prisoners back.
" 'Trump may take advantage of this over-excitement, ' he said, the state-run IRNA news agency reported".
Iran wasn't the only one to dismiss Trump's overture.
Iranian Vice-President Eshagh Jahangiri said the government and the central bank would unveil a new economic plan by the end of this week to tackle the USA sanctions and the rial's fall.