"Trump understands that he does not have the capacity to wage war with Iran, but due to historic mistrust, diplomatic ties have been destroyed", said Falahatpisheh, adding that this left no choice but to work towards reducing tensions. "The Iranian economy is suffering badly, inflation is up, the rial is down, so there will be pressure - but if Iran's past reactions to pressure are any guide, it will take some time if there ever is a meeting".
Many Iranians find it hard to believe that the man who is trying to destroy their economy, and has banned them from flying to the USA, can be trusted. After removing the U.S from the deal, formally known as the Joint Comprehensive Plan of Action, he reimposed economic sanctions on Iran. "I'll meet - anytime they want", Mr. Trump said. And I don't do that from strength or from weakness.
"I will meet with anybody", Trump said, touting his previous two summits while bashing the coverage from the "fake news".
The "president wants to meet with folks to solve problems", he told CNBC.
World powers and Iran have been working on an economic package to compensate for USA sanctions that begin taking effect in August.
The president was asked about Iran after he and the Iranian president traded threats earlier this month.
Iran's interior minister chimed in that Tehran did not trust Washington as a negotiating partner.
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".
ISIS attacks in Sweida leave 150 dead, hostages
The assaults, it said, come "in the wake of the recent victories by Syria and its allies, especially in the south of the country". The Britain-based Syrian Observatory for Human Rights says that 302 people, including 135 civilians, were killed.
There was no immediate confirmation from the Trump administration.
Mr Trump's remarks represented a marked softening in rhetoric from a week ago, when he lashed out at Mr Rouhani, saying: "Never, ever threaten the United States again or you will suffer consequences the likes of which few throughout history have ever suffered before".
Hours before Mr Trump's statement, Tehran ruled out talks with Washington.
The 2015 agreement came in response to fears that Iran was developing a nuclear bomb. The other was that Iran's ballistic missile development was not covered under the agreement.
Trump allegedly offered to meet Rouhani during the United Nations General Assembly in September.
Mr Rouhani had told Iranian diplomats: "America should know that peace with Iran is the mother of all peace, and war with Iran is the mother of all wars".
But he did not rule out peace between the two countries.
The United States has also vowed to boost sanctions until Iran changes its regional policies, including its support for regional militant groups. Cessation of threats to worldwide shipping was also on the list.