Iran's mission to the United Nations has denied receiving any diplomatic communication from US President Donald Trump on holding nuclear negotiations, contradicting Trump's March 7 claim that he sent a letter in an act of outreach to Tehran, Persian language state media have reported.

The comments from the New York Iranian mission come after background talks held between Tehran, Moscow and Washington, which have been ongoing in recent weeks. 

"We have not received such a letter so far," the Iranian mission stated in response to American media inquiries following Trump's assertion during a Fox Business interview that he had sent correspondence addressed to Iran's Supreme Leader Ayatollah Ali Khamenei.

Iran's Foreign Minister, Abbas Araghchi, has categorically rejected the possibility of negotiations with the United States while Trump's "maximum pressure" policy remains in place.

In comments made to AFP on the sidelines of the Organisation of Islamic Cooperation's foreign ministers meeting in Jeddah, Araghchi stated: "As long as the Trump administration maintains its maximum pressure, Iran will not resume negotiations with the United States regarding its nuclear programme."

Araghchi also issued a stark warning about military options, saying: "Iran's nuclear program cannot be destroyed by a military attack. This is technology we have achieved, and technology in the mind and brain cannot be bombed."

During his interview with Maria Bartiromo, Trump claimed he sent a letter on March 6 outlining negotiation possibilities while also relaying warnings.

"I would prefer to make a deal, because I'm not looking to hurt Iran. They're great people," Trump said, while adding that military action remained an alternative if Iran pursued nuclear weapons.

The White House did not provide the letter or confirm its contents when questioned by reporters, creating uncertainty about the administration's current Iran strategy.

This apparent diplomatic initiative would represent a significant reversal for Trump, who withdrew from the Obama-era nuclear deal with Iran in 2018, citing the poor US negotiation position as the reason for leaving.

Trump recently expressed broader nuclear disarmament ambitions, stating during an Oval Office meeting: "It would be great if everybody would get rid of their nuclear weapons," mentioning hopes of engaging both China and Russia in future discussions.

Tehran’s official position on nuclear talks has firmed in recent hours, with Friday prayer interim leader Ahmad Khatami stating that dealing with the US was “humiliating” for allies and indicating the US administration was erratic. 

"Trump's treatment of [Ukraine leader Volodomyr] Zelenskiy demonstrated Zelenskiy's humiliation. This is the fate of those who submit to America," Khatami told worshippers during his sermon at Tehran University.

Iran continues to face stringent US sanctions levied by the Trump regime in Washington targeting oil exports.

Earlier, bne IntelliNews reported that Moscow was acting as an intermediary between Tehran and Washington in indirect nuclear negotiations.