"I don't know that they're ready yet", Trump said. "They are having a hard time right now".
Iran is one of the world's largest oil producers, with exports worth billions of dollars each year.
Iran has said that the USA must return to the Iranian nuclear agreement before there is any possibility of direct talks as suggested by Donald Trump.
The bluster was gone this week, as Trump instead issued an invitation for a summit.
Trump's offer comes after a provocative warning a week ago from Iranian President Hassan Rouhani, who said the United States should not "play with the lion's tail" and warned that any conflict with Iran would be the "mother of all wars".
But Trump's remarks did represent a marked softening of tone from when he lashed out at Rouhani in a tweet a week ago. It took about 112,000 rials to buy one US dollar on Tuesday, almost double what it cost when Mr. Trump withdrew from the nuclear deal.
Tweeting from aboard Air Force One, Trump said: "The United States will impose large sanctions on Turkey for their long time detainment of Pastor Andrew Brunson, a great Christian, family man and wonderful human being". "BE CAUTIOUS!" the president raged on Twitter on July 22.
Iran's currency traded at a fresh record-low of 119,000 to the dollar today, a loss of almost two-thirds of its value since the start of the year as US sanctions loom.
In spite of fierce verbal exchanges between Tehran and Washington in the recent weeks, Iranian authorities have kept the door to diplomacy open. The company stated it has temporarily halted all oil shipments through the Red Sea's Bab El-Mandeb strait. "I believe in meetings", adding this was especially the case when there was the possibility of war.
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"I believe in meetings".
"Any little thing that can help the people in this bad situation, I really want it to happen for us", said Fathi, a young woman working for an insurance broker. Under "appropriate" conditions negotiation can be helpful, but now such talks would just bring humiliation to Iran, he said, according to IRNA.
"If we could work something out that's meaningful, not the waste of paper that the other deal was, I would certainly be willing to meet", he added.
There was no immediate confirmation from the Trump administration.
Under the 2015 deal, called the Joint Comprehensive Plan of Action, the fruit of Rouhani's efforts to ease Iran's worldwide isolation to help revive its economy, Iran curbed its shadowy nuclear program and won relief from United Nations and Western sanctions in return.
Others in Iran were more receptive.
The withdrawal from the agreement came after Iran was given months of opportunity to re-negotiate these parts of the deal.
Mr Rouhani earlier said that war with Iran would be "the mother of all wars".