The two weeks of renewed U.S. bombing killed scores of people in Iran and destroyed bridges and tunnels across the south as well as military targets. Four U.S. service members were killed by Iran's return fire against U.S. bases in neighbouring Arab states. Iran also struck civilian infrastructure in Gulf countries in what it said was retaliation for U.S. strikes on civilian targets.
Last week Iran's Houthi allies threatened to extend the disruption to global oil supplies to a second major waterway by announcing a blockade of Saudi Arabia's oil industry in the Red Sea, sending oil prices even higher.
The halt to the renewed U.S. bombing campaign leaves no clear indication of what leverage Washington can exert to achieve Trump's aim to break Iran's grip on the strait.
Washington and Tehran reached an agreement in June on a framework for talks meant to take place by the end of August to resolve major issues such as Iran's nuclear programme.
But the sides have disputed the meaning of the memorandum's language about the Strait of Hormuz, with Washington insisting it requires Tehran to allow free travel while Iran says it grants it the authority to supervise transit.
Iran aims to formalise its control over the strait by reaching an agreement with Oman, which controls the opposite shore. A senior Omani delegation was in Tehran over the weekend discussing the future of the strait.
The foreign ministers of Qatar, the United Arab Emirates and Saudi Arabia each had held phone calls to discuss the strait with Oman's Foreign Minister Badr Albusaidi, according to reports on Monday on Qatari, UAE and Saudi state media.
Israel's Prime Minister Benjamin Netanyahu, who launched the war in February alongside Trump but has not participated in the U.S.-Iranian negotiations to end it, is due to meet Trump in Washington early this week.