“These negotiations shall be conducted within the framework of our national interests”, Pezeshkian added.
The talks will be held in Istanbul on Friday, according to US media reports.
Pezeshkian’s announcement follows an interview with Araghchi in which he told CNN, external he was “confident that we can achieve a deal”.
Speaking to a press pool in the White House, Trump said on Monday “if we can work something out” that would be “great”, but warned that “bad things would happen” if not.
The US carried out targeted strikes on Iran’s nuclear facilities last year in what it called Operation Midnight Hammer. The strikes followed a large-scale operation by Israel to target Iran’s nuclear facilities and nuclear scientists.
Trump added that there was a “tremendous force” headed to Iran, including the “biggest and the best” ships. The build up of US military and navy includes air craft carrier USS Abraham Lincoln, which has an air wing of around 70 aircraft.
It follows a crackdown by Iranian security forces that protesters told the BBC was unlike anything they had witnessed before.
Iranian authorities previously said that 3,117 people were killed during the protests, but activist and monitoring groups say the toll is significantly higher.
US-based Human Rights Activists News Agency (HRANA) says it has confirmed the deaths of 6,430 protesters, 152 children and 214 people associated with the government. It is still investigating some 11,280 cases.
Norway-based Iran Human Rights (IHR) said the final toll could exceed 25,000.
The widespread demonstrations were sparked by economic frustrations in the country but developed into demands for political change.
Iranian officials have told Khamenei that public anger following the protests has reached a point where fear is no longer a deterrent, Reuters news agency reports.