Qatar is trying to broker a breakthrough between Iran and the United States as the conflict enters its eighth month, with Doha exchanging messages between the parties and seeking common ground for an agreement. The effort follows separate meetings between U.S. and Iranian officials and Qatari mediators, while negotiations that intensified during last week's U.N. General Assembly have not produced an agreement to reopen the Strait of Hormuz. U.S. President Donald Trump denied reports that he offered sanctions relief or access to frozen Iranian funds in exchange for concrete nuclear concessions, reiterating that Iran must not obtain a nuclear weapon. Tehran says it does not seek nuclear weapons but insists on its right to a civilian nuclear program and has said it is open to talks without coercion. Iran's proposed seven-day countdown to reopening the strait and pausing hostilities was rejected by Trump, although Iran said Washington had not formally communicated its rejection through mediators. The war has killed thousands, disrupted global energy supplies and pushed up inflation. Oil prices fell 2.5% on Tuesday but remained on track for monthly gains, while the U.S. offered energy companies up to 40 million barrels from the Strategic Petroleum Reserve and sanctioned 10 individuals and entities accused of helping Iran procure weapons and components.