A report on CBS News' Iran war live blog says President Trump has rejected Iran's proposal to reopen the Strait of Hormuz and return to talks on Iran's nuclear program. The page was updated on September 27, 2026, and says the president made the statement on Saturday. The same report says Iranian President Masoud Pezeshkian told CBS News that despite an "atmosphere of distrust", Iran would allow U.N. nuclear inspectors into the country as part of a potential long-term ceasefire deal. Iran's foreign minister, Abbas Araghchi, is quoted saying Iran stands by its conditions for reopening the strait, including a cessation of all hostilities in the Middle East, among them in Lebanon, and fulfillment of terms in a ceasefire deal that collapsed months ago. Araghchi said Iran had received the president's initial reaction but nothing definitive had been conveyed by the mediators, and that Iran would make a decision based on what is conveyed. Separately, the report says Iran's deputy foreign minister accused Israeli Prime Minister Benjamin Netanyahu of using his address to the U.N. General Assembly to justify war and aggression, and pointed to mass walkouts by delegates during the speech. The report also states that a Saudi airstrike on a central marketplace in the Yemeni city of Taiz on Sunday killed seven people and wounded dozens more, according to the Houthi-affiliated Al-Masirah TV channel, whose casualty figures were not independently confirmed in the report. That account adds that the Houthis have taken Yemen's entire Red Sea coast, including the Bab al-Mandab strait, and have imposed a blockade on Saudi energy exports, while Iran has closed the Strait of Hormuz. Source: CBS News live blog, Iran war updates, updated September 27, 2026. Unresolved: the article does not give exact oil price levels; casualty figures from Houthi state media are reported, not independently confirmed in the source.