Trump says no talks scheduled with Iran as he teases action in Hormuz Strait

President Donald Trump on Tuesday said the U.S. is not in any talks with Iran and has no plans to start new ones, though he continued to assert that the Strait of Hormuz is open and cleared of water mines.

Trump's claim on Truth Social abruptly contradicted his prior insistence that Washington and Tehran are in active negotiations, even as Iran has repeatedly stated that no such talks are occurring.

Later Tuesday, air defenses in the United Arab Emirates detected two ballistic missiles launched from Iran toward the UAE, according to that country's Ministry of Defense.

The first missile fell outside the UAE's territorial waters, and the second missile fell within territorial waters, the defense ministry said.

Trump, in his Truth Social post on Tuesday morning, said, "There are no talks or conversations going on, or scheduled, with the Islamic Republic of Iran."

Just over two weeks earlier, Trump claimed Iran was being "duplicitous" by denying that talks were underway.

Trump's post added: "The Naval Blockade remains in full force and effect. The Hormuz Strait is open and operating. All water mines have been removed or detonated."

Passage through the economically vital strait has been stifled since the war began, in part due to the threat of Iranian mines. The U.S. in April launched a mine-clearing mission in order to establish a safe passage for ships transiting the waterway.

U.S. Central Command has not echoed Trump's claim, and referred CNBC to the White House when asked if it could confirm that the strait has been demined.

Traffic through the strait, which saw 20% of the world's oil trade before the war started nearly six months ago, has winnowed to a trickle and slowed further in recent days, exacerbating global energy concerns.

Trump maintains that the U.S., not Iran, is in control of the strait, even though transiting vessels continue to come under attack and few attempt the crossing.

Oil prices on Tuesday rose for a third straight session as the U.S. and Iran appeared to move further away from any potential deal.