NEW YORK/TEHRAN – US President Donald Trump on Monday denied a media report that his administration had offered Iran sanctions relief and access to frozen funds in exchange for nuclear concessions.

"Axios just released a story that 'Trump' offered Sanctions Relief and Frozen Funds to Iran. This is untrue. I offered them NOTHING! Axios' story, like most others, is a HOAX," Trump wrote on social media.

Trump demands Axios "IMMEDIATELY" withdraw the story.

The Axios story came after Trump rejected an Iran-proposed ceasefire deal over the weekend.

Iran's proposed peace deal demands a suspension of the US blockade on Iranian ports in the Strait of Hormuz in exchange for Iran reopening the rest of the strait and resuming talks over its nuclear program, local media reported.

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In response to Trump's rejection of its peace proposal, Iranian Foreign Minister Abbas Araghchi said on Sunday that it is "up to President Trump to choose" between diplomacy and continuing the war.

"We are fully prepared for the war to be resumed. We stand firm in the face of any new aggression, even if it comes to a doomsday war," Araghchi said.

No plans for talks 

Iran's official news agency IRNA reported Sunday night that the country has no plans to hold negotiations with the United States during its delegation's current visit to New York.

IRNA cited a source close to the Iranian delegation, which is in New York to attend the 81st session of the United Nations General Assembly, as rejecting "contradictory" reports about talks between Tehran and Washington.

The source said Iran's considerations and positions were conveyed to the American side "explicitly and clearly" through the Qatari mediator on Sept 22, and that Tehran is awaiting Washington's response.

According to the source, there is no plan for a new round of negotiations with the American side, and Araghchi will leave New York for Tehran on Tuesday.

On Sunday, Iran's Foreign Ministry quoted Araghchi as saying that the country had not yet received the US "definitive" views through the mediators on its proposed seven-day plan to cease hostilities and reopen the Strait of Hormuz.

He added that Iran had conveyed its plan and conditions to the American side through the mediating countries and had seen Trump's initial reaction to the plan, "but nothing has been conveyed to us yet by the mediators".

READ MORE: Iran: Conditions for 'reviving diplomacy' conveyed to US through Qatar's mediation

Araghchi noted, "Of course, the US president has made many contradictory statements, something we unfortunately hear from him quite often. We are waiting for definitive views to be conveyed to us via the mediators, and we will make our decision based on that."