The EU has been discussing reinforcing its naval mission in the Red Sea after US-Israeli attacks on Iran triggered a broader regional war, causing maritime traffic in the Strait of Hormuz to all but halt.

European Council President Antonio Costa and European Commission President Ursula von der Leyen "expressed their openness to further tailor and enhance these operations in order to better respond to the situation", the bloc said in a statement.

They held video talks with leaders from countries in the region including Bahrain, Iraq, Jordan, Lebanon, Qatar, Saudi Arabia, Syria, Turkey and the United Arab Emirates.

A fifth of global crude passes through the Strait of Hormuz.

The EU has two maritime defensive operations in the region -- anti-piracy naval force Atalanta and Aspides.

The latter was launched in the Red Sea in 2024 to prevent attacks on trade vessels by Iran-backed Houthi rebel forces.

Aspides is based in Greece but under Italy's operational military command. It currently has three warships -- one French, one Greek and one Italian.

Operation Atalanta has two ships, one in Oman and the other in Djibouti.

Greek Prime Minister Kyriakos Mitsotakis urged his European counterparts "to strengthen this operation (Aspides) with more naval assets".

"Few of us are participating at present but we must demonstrate European solidarity on a concrete level," he said.

He was speaking alongside French President Emmanuel Macron during a visit to Cyprus.

Macron said France would contribute to Aspides "over the long term" with two additional frigates.

Ursula von der Leyen also told the annual gathering of European Union diplomats in Brussels that the ripples from war in the Middle East are already being felt in Europe, with rising energy prices and NATO allies targeted.

"We are now seeing a regional conflict with unintended consequences. And the spillover is already a reality today," she said.

"Our citizens are caught in the crossfire. Our partners are being attacked," she said, citing an Iranian-made drone hitting a British base on EU-member Cyprus, trade disruptions and the "displacement of people".

While Iran has not officially shut off the Strait of Hormuz -- through which a fifth of the world's crude supplies and a substantial amount of gas run -- shipping through the critical waterway has all but dried up.

Von der Leyen stressed that "there should be no tears shed for the Iranian regime".

"The people of Iran deserve freedom, dignity, and the right to decide their own future -- even if we know this will be fraught with danger and instability during and after the war".

The "longer-term impact" of the war posed "existential questions" on the future of an international rules-based system and the 27-nation's bloc place in the world, she added.

"The idea that we can simply retrench and withdraw from this chaotic world is simply a fallacy," she said.