Trump's offer came after he tore up Iran's 2015 nuclear agreement in May, setting the stage for severe USA sanctions against the Islamic Republic.
That would ease concerns that China would work to undermine United States efforts to isolate the Islamic Republic by purchasing excess oil, Bloomberg said.
Scattered protests broke out in several Iranian cities on Thursday over the dramatic drop of the country's currency and other economic problems ahead of the imposition of renewed American sanctions, Iran's state-run IRNA news agency reported. In August and November Iran faces two new waves of sanctions that will shut off their access to United States banking and oil exports.
Francis Fannon, the assistant secretary of state for the Bureau of Energy Resources, was recently in China to discuss sanctions, according to a State Department spokesperson. "No preconditions. If they want to meet, I'll meet", Trump said at a joint press conference with the Italian prime minister.
"We need them to change their behavior on a number of threats they can pose with their military, with their secret services, with their surrogates and with their proxies", Mattis told Pentagon reporters.
Following the USA exit, Iran and the remaining parties launched talks to save the accord.
It is likely that low-ranking members of the Iranian delegation and Trump's team will meet to hear each other's point of view before the regime decides whether to accept Trump's offer of talks.
The exercise could shut down of the Strait of Hormuz, a crucial Gulf passage for shipments of numerous commodities.
The decision follows a week of sporadic protests against Iran's political and religious establishment as concerns over the economy mount.
Iran has also been hit by falling salaries set against the rising cost of living, while water shortages and power outages have also hit the embattled country.
Earlier this week on Tuesday, hundreds of Iranians had rallied across the country, including Ahvaz, Isfahan, Karaj, and Shiraz in protest of growing economic difficulties, high inflation caused partly by the weak Rial.
"It should be discussed in the Supreme National Security Council", said Nategh Nouri, who is also a former aide to Supreme Leader Ayatollah Ali Khamenei.
Late on Friday, riot police intervened to disperse about 500 people chanting slogans against the government in the town of Eshtehard, 100 km (60 miles) west of Tehran, Some protesters threw rocks and bricks and damaged a Shiite Muslim seminary, the semi-official news agency Fars reported.
Meanwhile, Leader of the Islamic Revolution Ayatollah Ali Khamenei has underlined that any decision to keep the JCPOA running without the USA should be conditional on "practical guarantees" from the Europeans.