Iranian Foreign Minister Abbas Araghchi said that only a "negotiated solution" can end the conflict between the US and Iran, after President Donald Trump rejected a proposal to reopen the Strait of Hormuz. Trump called Iran's proposal "not acceptable" and claimed the US already had "total control" of the strait, which handles a significant portion of global oil shipments. He argued that this control had led to rising oil prices and higher fuel costs for consumers. Araghchi acknowledged the rejection but said Iran would wait for a "definitive" response from the US, noting that Trump had made contradictory statements in the past. He emphasized that the conditions for opening the strait were the same as those in a memorandum of understanding (MOU) signed in June between the two countries. The issue of reopening the strait and ending hostilities was raised during negotiations on the sidelines of the UN General Assembly in New York. The Strait of Hormuz, through which about a fifth of the world's oil and gas supply usually flows, has been effectively closed since the outbreak of war in February. Iran's President Masoud Pezeshkian, who attended the UN General Assembly, told CBS that "distrust created by this war needs to be overcome" for talks to be successful. He said Iran was open to implementing the MOU in stages but added that the "US needs to show it does not intend to overthrow our government." Pezeshkian also addressed concerns about Iran's Supreme Leader Mojtaba Khamenei, who was injured in a US strike in February, stating that he had met with Khamenei on two occasions and that he had "no specific ongoing health issues or challenges." Oman, acting as a mediator between the US and Iran, called for all parties to continue having open dialogue to resolve the crisis. Oman's foreign minister, Sayyid Badr bin Hamad bin Hamood Albusaidi, urged cooperation with Oman in efforts to safeguard navigation in the strategic waterway. Trump's rejection of Iran's proposal was supported by US Ambassador to NATO Matthew Whitaker, who criticized Iran's offer as "half measures" and "illusory deals to make themselves look good on the world stage." Treasury Secretary Scott Bessent noted that economic sanctions imposed by the US were taking a toll on Iran, with Turkey, Oman, and the United Arab Emirates halting flights from Iranian airlines and some banks in the UAE and Turkey stopping transactions with Iran. The Trump administration has dubbed an economic blockade on Iran "Operation Economic Outcast," aiming to use economic pressure to force Tehran to stop attacks on vessels in the Strait of Hormuz. However, some economists have questioned the effectiveness of the latest sanctions, depending on the reaction from Iran's major trading partners, including China, which has continued to do business with Iran despite US sanctions. Iran maintains that its conditions for reopening the Strait of Hormuz are clear and will not retreat from them. Araghchi stated that Iran has never closed the door to diplomacy or negotiations but has not renounced its rights. The conditions include the cessation of all hostilities in the Middle East for seven days, the unfreezing of Iranian assets, the lifting of sanctions on Iranian oil, and the end of the American naval blockade against Iran. Before Trump's rejection, Araghchi had stated that the measures expected from the US were "not new" and were already included in the June agreement. Trump had published a map of the Strait of Hormuz on his network Truth Social with the label "Trump Strait." The conflict over the Strait of Hormuz has been central to the ongoing tensions between the US and Iran, with the US imposing a blockade on Iranian ports since September 1.