The changes reportedly include demands that Iran not move enriched uranium from bombed sites or resume activity there during talks.
News of the Iranian proposal briefly pushed oil prices down nearly five percent, though they remain about 50 percent above pre-war levels amid the ongoing closure of the Strait of Hormuz.
Iran has maintained a stranglehold on the strait since the war began, choking off major flows of oil, gas and fertilizer to the world economy, while the US has imposed a counter-blockade on Iranian ports.
Tehran resident Amir told Paris-based Agence France-Presse journalists that the stalemate “feels like we are stuck in purgatory,” and he expressed little hope for the Iranian proposal.
“This is all to waste time,” he said, predicting the United States and Israel “will attack again.”
Despite the ceasefire in the Gulf, fighting has continued in Lebanon, where Israel has carried out deadly strikes despite a separate truce with the Iran-backed armed group Hezbollah.
Lebanon’s health ministry said 13 people were killed in strikes in the south, including in the town of Habboush, where the Israeli military had issued an evacuation warning.
Meanwhile, Washington announced late Friday it had approved major arms sales to its allies in the Middle East, including a $4 billion Patriot missile deal with Qatar and nearly $1 billion in precision weapons systems to Israel.