No details have been released. The US has not made details of its proposals public, either, but reports suggest they centre on a 14-point memorandum of understanding, which could lead to negotiations on Iran's nuclear ambitions.
A
ceasefire meant to facilitate talks to end the war launched by the US and Israel in February has been largely observed, despite occasional exchanges of fire.
However, Iran has continued to block the Strait of Hormuz - leading to a rise in world oil prices - and the US has been enforcing a blockade of Iranian ports to exert pressure on Tehran to agree to its terms.
The US naval blockade has infuriated Iran.
On Sunday, President Masoud Pezeshkian: "We will never bow our heads before the enemy."
In a post on X soon after, Pezeshkian did not directly reference the proposal but said: "We will never bow our heads before the enemy, and if talk of dialogue or negotiation arises, it does not mean surrender or retreat.
"Rather, the goal is to uphold the rights of the Iranian nation and to defend national interests with resolute strength."
US President Donald Trump this week predicted that the war in Iran will be "over quickly" and said that most people "understand" his goal of ending Tehran's nuclear ambitions.