After Iran threatened a "fierce" response to delays repatriating its dead, Tehran and Riyadh reached an agreement to speed up the return of the bodies of Iranian victims.
Tehran has accused its regional rival Saudi Arabia of hindering its efforts to bring home the bodies.
Read: Iran protests Saudi delay in repatriating hajj dead
The Islamic republic has the highest confirmed death toll among foreign nationalities by far, accounting for more than half of the 769 killed, followed by Egypt with 75.
"Seven days after this tragic accident... the status of all (pilgrims) injured has been completely cleared and reported," Iran's Hajj organisation said in a statement Thursday carried by state television.
Around 240 Iranians were previously declared dead after the crush on September 24 near Makkah, with more than 200 classified as missing.
Ali Marashi, head of the Iranian Red Crescent's Hajj medical centre in Tehran, said that his organisation had visited hospitals looking for the missing "and sadly we have not found even one person who might be Iranian".
Iran's IRNA news agency quoted Health Minister Hassan Hashemi as saying that he and his Saudi counterpart Khaled al Falih had agreed to "speed up the repatriation process".
"We were assured that no Iranian would be buried (in Saudi Arabia) without the permission of the government and their relatives," he said.
Those unidentified bodies who are clearly Iranian would be repatriated first and identified at home, Hashemi added.
"Saudi officials are failing to do their duties," Iran's supreme leader Ayatollah Ali Khamenei said in a speech Wednesday to graduating navy officers.
Read: Iran leader threatens 'fierce' reaction if Saudi does not return Hajj dead
"They should know that the slightest disrespect towards tens of thousands of Iranian pilgrims in Makkah and Madina and not fulfilling their obligation to transfer holy bodies will have Iran's tough and fierce reaction."
According to Iran's foreign ministry, the missing include Ghazanfar Roknabadi, 49, the country's former ambassador to Lebanon, a highly sensitive post.
The two regional rivals were already at odds over Iran's support for Shia Huthi rebels in Yemen, where a Saudi-led Arab coalition has waged months of air strikes against the insurgents.
Riyadh has accused Tehran of playing politics with the Hajj tragedy.
On Wednesday the coalition said it had seized an Iranian boat in the Arabian Sea loaded with weapons destined for Yemeni rebels.
It said the boat, registered to an Iranian as a fishing vessel, was carrying 18 Concourse anti-armour shells, 54 BGM17 anti-tank shells, 15 shell battery kits, four firing guidance systems and various items of launch-related equipment.
A source in Iran's foreign ministry later rejected the claims as "propaganda", IRNA reported.
Sunni-dominated Saudi Arabia and its allies have repeatedly accused their Shia rival Iran of arming the Huthi rebels, who have seized swathes of Yemen including the capital.
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