Iran's Deputy Foreign Minister for Legal and International Affairs, Kazem Gharibabadi, made the announcement in a post on X on Monday.
Gharibabadi said the meeting took place during his visit to Muscat and was attended by Abdulaziz al-Hinai, Omani minister of state for foreign affairs.
According to the former, the two sides discussed both current issues concerning the Strait of Hormuz and its future governance.
Iran closed the waterway to enemies and their allies following the launch of the latest bout of unprovoked American-Israeli aggression against the Islamic Republic.
It began exercising far stricter controls after US President Donald Trump announced the continuation of an illegal naval blockade of Iranian vessels and ports in violation of the terms of a ceasefire announced on April 7.
A Pakistan-mediated memorandum of understanding was recently signed between Tehran and Washington with the aim of ending the cycle arising out of the aggression.
The MoU's fifth clause underlines recognition of Iran's sovereignty over the chokepoint.
Following the launch of the aggression, Iran and Oman began talks on the future governance of the waterway in line with the states' sovereign right over it.
According to Gharibabadi, "During the meeting, in addition to reviewing current issues concerning the Strait, we exchanged views on its future management within the framework of the fifth clause of the Islamabad memorandum of understanding and the sovereign rights of the littoral states."
The inaugural meeting follows a joint statement issued by the two sides on June 22 after a visit to Muscat by Parliament Speaker Mohammad Baqer Qalibaf and Foreign Minister Abbas Araghchi.
In that statement, the Sultanate of Oman and the Islamic Republic emphasized that all arrangements concerning the Strait of Hormuz must fully respect the sovereignty and sovereign rights of the two coastal states.