Daily tanker traffic through the waterway appeared to have slowed on Friday, after attacks this week raised concerns about global oil supplies and shipping.
Oil prices eased on Friday but remained on track for weekly gains of 5% after the hostilities. U.S. Treasuries edged lower on concerns the trend of rising energy prices could add to inflationary pressures.
The Strait of Hormuz handled about a fifth of global oil and liquefied natural gas shipments before the war. Tehran has since largely taken control of the waterway, forcing a stalemate in its confrontation with the world's most powerful military.
Under the interim deal, the U.S. ended its naval blockade of Iranian ports, and Iran agreed to ensure safe passage of commercial vessels.
This week Washington accused Iranian forces of attacking three tankers in the area, and struck military sites in Iran in response. Iran then attacked U.S. military sites in Gulf states on Thursday.
The U.N. shipping agency's governing council condemned efforts by Iran to impose sovereignty over the Strait of Hormuz and Tehran's "unilateral decision" to create a body to control traffic through it.
Prior to this week's attacks, daily tanker traffic had risen to its highest since the war began, averaging 40 ships transiting the strait. That was still far off the pre-conflict average of 125 to 140 daily sailings.
Trump and Israeli Prime Minister Benjamin Netanyahu said when they launched the war that their aims were to end Iran's nuclear activities, alongside other objectives.
Tammy Bruce, the deputy U.S. ambassador to the U.N., raised the issue on Friday, telling a Security Council meeting: "The door to diplomacy remains open, and is our preferred path to resolve concerns related to Iran's nuclear program."
Iran, which denies seeking a nuclear bomb, has retained its stockpile of near-weapons-grade enriched uranium, and its ability to threaten neighbours with missiles and drones.
Also on Friday, the U.S. Treasury Department said it imposed sanctions on Ali Ansari, an Iranian banker and businessman based in Dubai who had previously been sanctioned by Britain for his role in financially supporting the activities of Iran's Revolutionary Guards, among other individuals and entities.
Iran on Thursday buried its slain Supreme Leader Ayatollah Ali Khamenei at the country's holiest shrine in Mashhad, capping a week of funeral processions and rallies.
Khamenei was killed in an airstrike on the first day of the war on February 28. A condolence ceremony will be held on Friday after sunset prayers on behalf of Supreme Leader Mojtaba Khamenei for his father in the city of Qom, his office announced. Mojtaba Khamenei, who was injured in the strike that killed his father, has not appeared in public, fueling speculation about his role in Iran's future.