US President Donald Trump said on Sunday he had told his representatives not to rush into any deal with Iran, as his administration played down ​hopes of an imminent breakthrough in the nearly three-month-old war that had been raised a day earlier.

The US blockade on Iranian ships in the Strait of Hormuz would "remain in full force and effect until ‌an agreement is reached, certified, and signed," Trump wrote on Truth Social. "Both sides must take their time and get it right," he added.

On the same day, Iran's Tasnim news agency reported that despite some talks held between Iran and the US, the US is still obstructing certain clauses of a potential memorandum of understanding, including the release of Iran's frozen assets, and Iran has not accepted any action on the nuclear issue at this stage of talks.

Iran and the US remain at odds on several difficult issues, such as Iran's nuclear program, Tehran's demands for ​the lifting of sanctions and the release of tens of billions of dollars of Iranian oil revenues frozen in foreign banks.

Iranian President Masoud Pezeshkian told state television that Iran was "still prepared to assure the world that we are not seeking nuclear weapons."

US Secretary of State Marco Rubio said the United States was prepared to enter "into very serious talks" about Iran's nuclear program if Iran reopened the Strait of Hormuz, The New York Times reported on Sunday.

The remarks suggested that Washington may take a phased approach and accept an interim agreement that did not immediately address Iran's nuclear program, according to the report.

"You can't do a nuclear thing in 72 hours on the back of a napkin," Rubio told the newspaper.

He suggested that the US could renew its threats to attack Iran if the negotiations do not bear fruit within two months.

"Ultimately, the approach has to deliver what we want it to deliver," Rubio said. "If it doesn't, then the president has every option available to him in 60 days that he has available to him now."

Israeli Prime Minister Benjamin Netanyahu said on Sunday that he and Trump had agreed that "any final agreement with Iran must eliminate the nuclear threat entirely."

Adding further uncertainty, an Iranian military advisor to Khamenei said Tehran had the legal ​right to manage the Strait of Hormuz, though it was not clear if that meant continuing to decide which ships can go through.

Iran's Revolutionary Guards said on Sunday that 33 vessels had passed through the strait over the past 24 hours after getting permission from Tehran, which is far short of the 140 on a typical day before the war.

Any deal reinforcing the current fragile ceasefire would bring relief to markets but not immediately quell a global energy crisis, which has driven up costs of fuel, fertilizer and food.

Even if the war ends now, full flows ​through the strait will not return before the first or second quarter of 2027, Sultan Al Jaber, head of the Abu Dhabi National Oil Company, said ​last week.

Separately, Omani officials led by Foreign Minister Sayyid Badr bin Hamad Al Busaidi met an Iranian delegation headed by Deputy Foreign Minister Kazem Gharibabadi on Sunday. The talks focused on freedom of navigation in the Strait of Hormuz and broader regional developments, underscoring both countries' commitment to restoring safe and sustainable maritime traffic in the strategic waterway.

Trump, whose approval ratings have been hit by the war's impact on US energy prices and who has faced congressional efforts to curb his war powers, has repeatedly played up the prospect of an agreement to end the conflict. A tenuous ceasefire has been in place since early April.