Nations in the region have been keen to reach agreements as their economies are heavily reliant on Middle East energy.
The BBC's Orla Guerin travels to the edge of the critical waterway that Iran has put a stranglehold on.
It appears to be the first ship owned by a major European firm to go through the strait since the conflict began.
There are fears the Iranian proxy may attack shipping in the Red Sea, adding to global economic woes.
The skipper of the Sea Owl One is suspected of producing forged documents when it was boarded by coast guard.
Maersk chief executive Vincent Clerc has called on the US, Israel and Iran to reach "some kind of deal".
The footage demonstrates the flow of ships passing through the Strait of Hormuz in the Gulf since the US-Israeli military offensive began against Iran on 27 February.
The Arctic Metagaz went down between Libya and Malta after it was hit by explosions and a fire, Libyan officials say.
American authorities took control of the Marinera before escorting it to Scotland's Moray coast.
