The U.S. ambassador to the United Nations, Mike Waltz, said on Sunday that Trump had paused the campaign to allow room for negotiations. Trump, Secretary of State Marco Rubio and other U.S. officials have described Iran as "begging for a deal."
But Iran's Foreign Ministry spokesman Esmail Baghaei said in a televised press conference on Monday that Iran had not asked to resume peace talks with the United States.
Messages were still being passed between the sides through mediators and Iran had not forsaken diplomacy, but "reports about Iran requesting negotiations with the U.S. are fabricated," Baghaei said. "This is not in our DNA."
Several Iranian state media outlets cited an "informed source" as saying that Iran had turned around six "offending ships" on Monday morning that had attempted to cross the Strait of Hormuz without its permission.
Trump launched his renewed bombing campaign to punish Iran after Tehran fired on ships using a route promoted by the United States, which told vessels to sail close to the coast of Oman.
Iran says ships may pass only through a Hormuz channel that runs closer to its own coast, which it controls and where it intends to impose transit fees.
The two weeks of renewed U.S. bombing killed scores of people in Iran and destroyed bridges and tunnels across the south as well as military targets.
Four U.S. service members were killed by Iran's return fire against U.S. bases in neighbouring Arab states. Iran also struck civilian infrastructure in Gulf countries in what it said was retaliation for U.S. strikes on civilian targets.
The U.S. bombing halt leaves no clear indication of what leverage Washington can exert to achieve Trump's aim to break Iran's grip on the strait.
Washington and Tehran reached an agreement in June on a framework for talks meant to take place by the end of August to resolve major issues such as Iran's nuclear programme.
But the sides have disputed the meaning of the memorandum's language about the strait, with Washington insisting it requires Tehran to allow free travel while Iran says it grants it the authority to supervise transit.
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