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

In comments published by Iranian state media on Tuesday, Iranian Foreign Minister Abbas Araghchi discussed his meeting with Qatari mediators in New York following the United Nations General Assembly's high-level gathering last week.

"They had some ideas, and we agreed that they would raise the matter again with the American side, after which the U.S. side's final response would be conveyed to us," Araghchi said in a Monday briefing, as quoted by the state-run Islamic Republic News Agency.

Araghchi said Tehran submitted a seven-point proposal to the U.S. via Qatari mediators.

"Despite the comments made by the U.S. president, as I said, we are waiting for an official response from the United States through the mediators," Araghchi added.

-ABC News' Victoria Beaule

President Donald Trump is rejecting reports that say he is open to offering Iran sanctions relief and releasing its frozen assets in exchange for progress toward a nuclear deal, posting on Monday that he's offered Iran "NOTHING."

Trump specifically responded to an Axios report about possible economic relief for Iran if they present concrete nuclear concessions, writing in a post on his social media platform that the story is “untrue,” and that they should "withdraw this fake story, IMMEDIATELY!"

-ABC News' Isabella Murray

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