Iran live updates: Tehran waiting for US response to 7-point proposal, Araghchi says

When asked about the progress of Monday’s mediated talks between the U.S. and Iran, President Donald Trump said, "We're going to win this as far as I'm concerned. It's going to be one way or the other. It's going to be -- it's going to go pretty quickly, too."

Trump continued to promise gas prices would come down after the war with Iran ends.

"We have the best economic numbers we have. Iran will never have a nuclear weapon. We're going to win that war very, very soon. It'll be over. And the gas prices will come tumbling down," Trump said.

-ABC News’ Isabella Murray and Michelle Stoddart

After President Donald Trump rejected a proposal from Iran over the weekend, U.S. officials said he remains open to offering the country sanctions relief and releasing its frozen assets in exchange for concrete progress toward a nuclear deal.

Trump confirmed U.S. and Iranian officials spoke via mediators on Monday.

The Trump administration has always said Iran would receive substantial financial rewards if it walked away from its nuclear program, and under June’s memorandum of understanding, the U.S. promised to roll back all sanctions as part of a verifiable, long-term nonproliferation deal. Iran has not indicated it’s willing to bring the nuclear issue into negotiations at this point.

-ABC News’ Shannon Kingston

Eight Marines were recently hurt in an Iranian attack on a ship operating in the Strait of Hormuz, though the injuries were not significant, a U.S. official confirmed to ABC News.

The United Kingdom Maritime Trade Operations tracked that a commercial vessel was struck by “an unknown projectile” on Sept. 14 and no injuries were reported at the time.

NBC News was first to report the previously undisclosed injuries to the Marines.

U.S. Central Command declined to comment on the report.

-ABC News’ Luis Martinez

U.S. Central Command on Monday disputed a claim from an Islamic Revolutionary Guard Corps commander asserting that Tehran enjoys "full control over the Strait of Hormuz."

"This is FALSE," CENTCOM said in a post to X.

"Iran has no navy because American forces sank it. And Iran does not control the Strait of Hormuz as evidenced by the thousands of ships that have passed through freely along with more than 1 billion barrels of oil just over the past few months," CENTCOM said.