Live updates: Trump says 'very good' Iran talks, hints at 'total resolution'

Iranian officials have continued to deny that any talks took place with the U.S., after President Donald Trump said earlier Monday that Washington and Tehran had two days of "productive" talks with Iran.

According to state media, Iranian parliament speaker Mohammad Qalibaf said "no talks with the U.S. have taken place" and that "reports claiming otherwise are fake news aimed at influencing financial and oil markets and distracting from the challenges facing the U.S. and Israel."

During an event in Memphis on Monday afternoon, Trump said the U.S. is having "really good discussions" with Iran.

"I think they're very good. They want peace. They've agreed they will not have a nuclear weapon, you know, etc., etc., but we'll see," Trump said. "You have to get it done. But I would say there's a very good chance."

President Donald Trump talked about the ongoing negotiations with Iran during a lengthy gaggle on the tarmac in Palm Beach, Florida, on Monday.

Trump said that Iran and the U.S. had many points of agreement in the current talks, which he previously said had been happening for two days - and he said that Iran agreed to never have a nuclear weapon.

Trump said talks would continue over the next few days. He said Special Envoy to the Middle East Steve Witkoff and his son-in-law Jared Kushner have been involved in those talks.

"We have had very, very strong talks. We'll see where they lead. But we have point -- major points of agreement, I would say, almost all points of agreement, perhaps that hasn't been conveyed," Trump said. "The communication, as you know, has been blown to pieces. They're unable to talk to each other. But we've had very strong talks. Mr. Witkoff and Mr. Kushner had them. They went, I would say, perfectly. I would say that if they carry through with that, it'll end that -- that problem, that conflict, and I think it'll end it very, very substantially."

When pressed about who they are speaking with in Iran, Trump said, "a top person."

"Don't forget, we've wiped out the leadership phase one, phase two and largely phase three. But we're dealing with a man who I believe is the most respected and the leader," Trump said.

Trump said he is not talking to the new supreme leader, Mojtaba Khamenei.

Iran's semi-official Mehr News Agency quoted the Foreign Ministry in Tehran as denying President Donald Trump's claim of talks between Washington and Tehran.

Trump, the ministry said, aims to buy time for U.S. military plans and reduce energy prices, Mehr reported.

"There are initiatives by regional countries to de-escalate tensions, and our response to all of them is clear: We are not the party that started this war, and all these requests should be referred to Washington," the statement said.

President Donald Trump said Monday he had instructed the Pentagon "to postpone any and all military strikes against Iranian power plants and energy infrastructure for a five day period, subject to the success of the ongoing meetings and discussions."

Trump said Washington and Tehran "have had, over the last two days, very good and productive conversations regarding a complete and total resolution of our hostilities in the Middle East."

The president had threatened to strike Iranian power plants on Saturday unless Tehran ended its efforts to block commercial shipping from transiting the strategic Strait of Hormuz within 48 hours. That deadline was set to expire on Monday evening.

Trump said Monday that U.S.-Iran talks would "continue throughout the week."