US President Donald Trump said on Sunday he was highly unlikely to order fresh attacks on Iran as long as talks to end the conflict progress, even as both countries reported that shipping had been hit in or near the Strait of Hormuz.

Trump said that if strikes resume, the US has identified potential infrastructure targets, including 38 bridges that he said could be knocked down in an hour. The US said its air force disabled a vessel in the Gulf of Oman, and both sides have continued strikes on vessels near the strait, restricting energy exports vital to the world economy.

Secretary of State Marco Rubio described Iran's proposal to end the war as "outrageous and ridiculous", while Iran's Foreign Ministry spokesperson Esmaeil Baghaei defended it as the most reasonable offer on the table. Iranian state media reported strikes on Qeshm Island on Sunday night that it said caused no damage to residential or vital infrastructure.

Trump also acknowledged after last week's US midterm elections that the Iran war was part of the reason for Republicans' defeat. Separately, a conflict between Iran-aligned Houthis in Yemen and Saudi Arabia has escalated this month, widening the Middle East war.