The Wall Street Journal reports international mediators are seeking a nuclear-related concession from Tehran after Trump rejected Iran's proposed seven-day truce.
Araghchi said Tehran's proposed seven-day plan was designed to build trust with Washington before further negotiations.
A US official described the ongoing indirect discussions, conducted through mediators, as "positive and constructive," with nuclear issues among the topics addressed.
The US has rejected a seven-day roadmap submitted by Iran via Qatar that offered to reopen the Strait of Hormuz and resume nuclear talks.
Tehran says the plan would reopen the Strait of Hormuz and resume nuclear talks within a week if Washington agrees.
Iran's president signaled openness to talks over the country's nuclear dispute during his UN General Assembly appearance, though prospects for a breakthrough remain low.
The offer coincided with a fresh wave of Houthi missile and drone attacks on Saudi targets, underscoring the volatile regional backdrop to the proposal.
Tehran says it would open the strait within six days and begin nuclear talks if Washington lifts oil sanctions and ends hostilities including in Lebanon.
Analysts say a deal this week is unlikely, with core disagreements between Washington and Tehran still unresolved despite intense diplomatic activity.
Threats to 'annihilate' Iran from President Trump, followed by comments on diplomacy, have prompted Tehran to warn of a response, highlighting the sharp back-and-forth accompanying ongoing talks.
Tehran would be ready to begin talks on a final deal within a week, Foreign Minister Abbas Araghchi said, according to TASS.
Tehran maintains negotiations remain possible but only after full implementation of the Islamabad agreement, according to TASS