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.
Iran responded to the attacks 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.
Explosions shook Tehran on Monday and a US-Israeli strike on a residential building south of the capital killed at least 13, an official told Iranian state media.
Iran fired volleys of rockets at Israel, with missile debris hitting Haifa, Tel Aviv and other spots.
In Abu Dhabi, authorities were tackling fallen debris in an industrial area after a successful interception by air defence systems.
In a post laden with expletives on his Truth Social platform on Sunday, Trump threatened further strikes on Iranian energy and transport infrastructure that critics say would constitute a war crime.
"Tuesday will be Power Plant Day, and Bridge Day, all wrapped up in one, in Iran," he said.
"There will be nothing like it!!! Open the F***in' Strait, you crazy bastards, or you'll be living in Hell - JUST WATCH! Praise be to Allah. President DONALD J. TRUMP."
In the kind of mixed messaging that has baffled supporters, foes and financial markets alike, Trump told Fox News that Iran was negotiating, with a deal possible by Monday.
Later on Sunday, Axios reported that the US, Iran and regional mediators were discussing terms of a potential 45-day ceasefire that could bring a permanent end to the war.
The White House and the US State Department did not immediately respond to Reuters' requests for comment.
The mediators were negotiating a two-phased deal, the report said, with the first a 45-day ceasefire, and the second an agreement on ending the war.
Anwar Gargash, an adviser to the UAE president, said any settlement must guarantee access through the Strait of Hormuz.
He warned that a deal that failed to rein in Iran's nuclear program and its missiles and drones would pave the way for "a more dangerous, more volatile Middle East".
Iranian weekend strikes on petrochemical facilities and an Israeli-linked vessel in Kuwait, Bahrain and the United Arab Emirates underscored the country's ability to fight back despite Trump's repeated claims to have knocked out its missile and drone capabilities.
Israeli rescuers retrieved two bodies from the rubble of a residential building in Haifa hit by an Iranian missile on Sunday, Israeli media said.
Trump described the rescue of the airman in the early hours of Sunday as "one of the most daring" such missions in US history.
The airman, the weapons officer of an F-15 jet shot down on Friday, was wounded but "will be just fine", Trump said in a message on X.
The jet's pilot had been rescued earlier.
Under cover of darkness, US commandos slipped deep into Iran undetected to scale a 2100-metre-high ridge and took the stranded American weapons specialist to safety before dawn on Sunday.
Two MC-130 aircraft that had ferried some of the roughly 100 special operations forces into rugged terrain south of Tehran suffered a mechanical failure and could not take off, a US official told Reuters.
Their commanders made a high-risk decision, ordering additional aircraft to fly into Iran to extract the group in waves.
US troops destroyed the disabled MC-130s and four additional helicopters in Iran, rather than risk leaving behind sensitive equipment.
Iran said several US aircraft were destroyed during the operation.
