After weeks of uncertainty surrounding peace negotiations between the United States and Iran, both countries appear to be making progress in reaching an agreement, with both sides indicating it could happen soon despite a dispute on timings.

US President Donald Trump posted on social media on Saturday that the deal with Iran was scheduled to be signed on Sunday. Though Iran has given no deadline, Tehran said the potential Memorandum of Understanding with Washington focuses primarily on ending the war.

"The deal is scheduled to get signed tomorrow, and immediately after it is signed, the Hormuz Strait is OPEN TO ALL. Our relationship with Iran is a much different and better one than previous Administrations have had," said Trump.

READ MORE: US-Iran deal reached, Strait of Hormuz to reopen

A delegation from Qatar traveled to Tehran on Sunday for consultations with Iranian officials on the latest developments related to the ongoing diplomatic process, Iranian media reported on Sunday.

The visit comes after one of the advisers to Qatar's foreign minister traveled to Tehran on Wednesday for discussions regarding a draft memorandum of understanding intended to halt the US-Israel war against Iran.

Iranian Foreign Ministry Spokesman Esmaeil Baghaei said on Saturday that the exact time of signing a potential agreement is not certain yet.

"We have no plans for trips to Geneva or other places for the next two days," he was quoted as saying by Mehr News, amid reports that claimed a signing ceremony could be held on Sunday in Geneva or Islamabad.

"Our duty is to pursue this diplomatic process with pessimism," Baghaei said at a news briefing.

"The experience of a year-and-a-half of negotiations with the American side, along with their broken promises and crimes during previous talks, requires us to take every step cautiously and with great foresight," he added.

The spokesman also said that the immediate priority in this phase is securing a cessation of hostilities across all fronts, including Lebanon. Both the US and Iran had agreed not to address the nuclear issue at this phase.

ALSO READ: Funeral for Iran's late supreme leader to begin on July 4 in Tehran

Abbas Aslani, a senior research fellow at the Center for Middle East Strategic Studies, told Al Jazeera that Iran's negotiating team is taking a more cautious approach in its dealings with the US based on past experiences.

He said that Tehran wants an assurance that any agreement reached will be genuinely useful, which is why a range of entities and organizations are weighing in on the negotiations.

He suggested that the institutional process, rather than an individual decision, is part of why progress is "slow".

Pakistani Prime Minister Shehbaz Sharif said in a post on social media platform X on Saturday that they were close to a deal.

"We are closer to a peace deal than ever before. With finalization likely expected in the next 24 hours, Pakistan is preparing for the electronic signing of the peace deal immediately after, followed by technical level talks next week," Sharif said in a post on X on Saturday.

Contact the writers at jan@chinadailyapac.com