US President Donald Trump on Monday said there have been talks between the United States and Iran over the past day in ​which the two sides had “major points of agreement,” adding that a deal could be done soon ‌to settle the war.

Trump said his Middle East envoy Steve Witkoff and close aide and son-in-law Jared Kushner talked to the Iranians on Sunday and that discussions would continue on Monday.

“We have had very, very strong talks. We’ll see where they lead. We have points, major ​points of agreement, I would say, almost all points of agreement… we’ve had very strong talks, Mr Witkoff ​and Mr Kushner had them,” Trump said.

“All I’m saying is, we are in the throes ⁠of a real possibility of making a deal,” he told reporters before departing Florida for Memphis.

He declined to say ​who the United States was speaking with in Iran, but said it was not Iran’s Supreme Leader Ayatollah Mojtaba Khamenei. ​Trump said Iran “had some leaders left.”

“We’re dealing with the man who I believe is the most respected and the leader,” Trump said.

Iran’s Fars news agency, citing a source, said there are no direct or indirect communications with the United States.

Iranian Foreign Minister Abbas Araqchi’s ministry said there were “initiatives” to reduce tensions, the Mehr news agency reported, adding that Tehran wanted Washington, as the party that began the war, to be a ​direct participant.

Trump also said he had spoken with US war ally Israel, which he said would be “very happy with what we have.”

More than 2,000 people have been killed in the war that the US and Israel launched ‌on February 28, ⁠which has upended markets, driven up fuel costs, accelerated global inflation fears and convulsed the Western defence alliance.