President Donald Trump has threatened to rain "hell" on Tehran if it does not make a deal by the end of Tuesday that would allow traffic to start moving again through the vital route for global energy supplies.
The Pakistani-brokered plan emerged from intense overnight contacts and proposes an immediate ceasefire, followed by negotiations on a broader settlement to be concluded within 15 to 20 days, a source aware of the proposals said on Monday.
Pakistan's army chief, Field Marshal Asim Munir, was in contact "all night long" with US Vice-President JD Vance, special envoy Steve Witkoff and Iranian Foreign Minister Abbas Araqchi, the source said.
Iran would not reopen the Strait as part of a temporary ceasefire, a senior Iranian official told Reuters on Monday, adding that Iran would not accept deadlines as it reviews the proposal.
Washington lacks the readiness for a permanent ceasefire, the official said.
Axios first reported on Sunday that the US, Iran and regional mediators were discussing a potential 45-day ceasefire as part of a two-phase deal that could lead to a permanent end to the war, citing US, Israeli and regional sources.
In a post laden with expletives on his Truth Social platform on Sunday, Trump threatened further strikes on Iranian energy and transport infrastructure if Iran failed to make a deal and reopen the strait by Tuesday.
Later on Sunday, the president in a follow-up post gave a more precise deadline: "Tuesday, 8:00 P.M. Eastern Time! (10am AEST on Wednesday)"
Fresh aerial strikes were reported across the region on Monday, more than five weeks since the US and Israel began pounding Iran in a war that has killed thousands and damaged economies by boosting oil prices.
Iranian state media said the head of the Revolutionary Guards' intelligence organisation, Majid Khademi, has died.
Israel on Monday claimed responsibility for his death.
Israel and the US have carried out assassinations of Iran's leaders since the start of the war on February 28, killing several high-ranking members of the Iranian ruling system, including supreme leader Ayatollah Ali Khamenei, who was replaced by his son, Mojtaba.
A US-Israeli attack hit the data centre at Sharif University of Technology in Tehran, damaging infrastructure underpinning the country's national artificial intelligence platform and thousands of other services, Fars News Agency said on Sunday.
Israel's Defence Minister Israel Katz in a statement on Monday threatened to destroy Iran's infrastructure and hunt down its leaders "one by one".
Trump has repeatedly warned Iran he could expand US strikes to include civilian infrastructure, such as power plants and bridges.
Experts say such attacks could constitute war crimes but the International Criminal Court lacks jurisdiction because the countries involved are not members of the court.
The Geneva Conventions say that parties involved in military conflict must distinguish between "civilian objects and military objectives", and that attacks on civilian objects are forbidden.
Israeli rescuers retrieved two bodies from the rubble of a residential building in Haifa hit by an Iranian missile on Sunday, Israeli media said.
Iranian weekend strikes on petrochemical facilities and an Israeli-linked vessel in Kuwait, Bahrain and the UAE underscored the country's ability to fight back despite Trump's repeated claims to have knocked out its missile and drone capabilities.
Iran responded to the attacks launched by the US and Israel five weeks ago by effectively closing the Hormuz waterway, a conduit for about a fifth of the world's oil and natural gas supply, and attacking Israel, US military bases and energy infrastructure around the Gulf.
Israel has also invaded southern Lebanon and struck Beirut in a fight against Iran-backed Hezbollah militants that has become the most violent spillover of the US-Israeli war on Iran.
