Iran's Foreign Minister Abbas Araghchi has met Qatari mediators in New York to discuss a proposal to reopen the Strait of Hormuz, as the United States insists that no deal to end the war can be reached without addressing Tehran's nuclear programme.

Araghchi told Iranian state media that the Qatari mediators would carry the ideas discussed at the meeting to Washington, and that he hoped to receive the US final response by Tuesday. He said he would fly back to Tehran within hours.

"We talked about ideas and how to find solutions to fulfil Iran's conditions and how to implement those conditions," Araghchi said. "They had some ideas, and we had a discussion that they will also present to the American side."

The Iranian plan, announced on Friday at the United Nations General Assembly in New York, calls on the US to release frozen Iranian funds, lift sanctions and end its naval blockade of Iranian ports. Araghchi said those steps could be completed within four or five days, allowing the strait to reopen and final-agreement talks, including on the nuclear programme, to begin by day seven.

US President Donald Trump rejected the proposal on Saturday, calling it "unacceptable". A US official told Al Jazeera the indirect talks were "positive and constructive", but stressed there would be no agreement unless Iran's nuclear programme is addressed. The official said Trump was willing to relieve sanctions and release Iran's frozen funds in exchange for progress on nuclear issues.

Qatar, which has been mediating between the two sides, said on Saturday that its mediators remained in close coordination with both Washington and Tehran.

Iran closed the strait, which handled roughly 20 percent of the world's oil and gas supplies before the war, shortly after the US and Israel launched their offensive on 28 February.