Analysis indicates that parts of the video appear to have been filmed hours after the ships were reportedly seized.
Iranian state media have shared footage appearing to show the Islamic Revolutionary Guard Corps boarding two cargo ships in the Strait of Hormuz.
The video shows small boats carrying masked and armed men approaching the MSC Francesca and the Epaminondas.
Analysis by BBC Verify indicates that parts of the video appear to have been filmed hours after the ships were reported as seized by Iranian forces.
Produced by Jemimah Herd. Graphics by Mesut Ersoz.
The US president's message that both sides "must take their time" with negotiations comes as reports suggest an agreement is close.
Officers stormed the building days after the party vowed to defy a court ruling removing its leaders.
A search operation has so far rescued 24 people with no deaths reported at the site, in a city near the capital Manila.