BRUSSELS, June 3 (Reuters) - The European Union's diplomatic service has proposed that the bloc's Aspides naval mission take "the primary role" in clearing mines in the Strait of Hormuz “when conditions allow” as Europe’s contribution to a Franco-British-led initiative, according to a document seen by Reuters.

The European External Action Service wrote in a note dated May 26 that “the situation requires the Union to provide a meaningful contribution” to an ad hoc coalition led by France and the UK “to be materialised once conditions allow and separated from the belligerents”.

June 3 (Reuters) - U.S. President Donald Trump said on Wednesday that Iran has agreed to not have a nuclear weapon and that Iran's Ayatollah is involved in negotiations with the United States.

"They've already agreed they're not going to have a nuclear weapon," Trump told a podcast interview on Wednesday, while speaking about Iran.

(Reporting by Kanjyik Ghosh and Doina Chiacu; Editing by Andrew Heavens)

DUBAI, June 3 (Reuters) - The Israeli military said it intercepted a "hostile aircraft" that crossed into northern Israel from Lebanon on Wednesday.

It did not link the drone to Hezbollah, and the Iran-backed group has not claimed responsibility for the incident.

Lebanon had announced a partial ceasefire between Hezbollah and Israel that would see Israel halt strikes on Beirut's Hezbollah-controlled suburbs and Hezbollah stop attacks on Israel, though the agreement does not end the conflict, according to Lebanon's embassy in Washington.

The US House of Representatives has backed a resolution seeking to halt American military action in Iran -- a symbolic move that deals a political blow to President Donald Trump as efforts to find a deal with Tehran stagnate.

Weeks of complicated talks marked by sharp rhetoric and flare-ups of violence have not managed to reach a deal to end the war and reopen the Strait of Hormuz, which is essential to oil supplies.

Iran's World Cup squad will arrive early on Sunday in Mexico where they will be based for the duration of the global football tournament, a team statement said Wednesday.

"The Iran national football team will depart Antalya for Tijuana at 15:20 (1220 GMT) on Saturday, June 6, and is scheduled to arrive in Mexico at 1:30 am (0730 GMT) on Sunday, June 7," it said.

The Iran players, who have been at a training camp in the southern Turkish resort of Antalya since May 18, are still waiting for their US visas.

Israel and Lebanon agreed Wednesday to implement a ceasefire but said it would require a "complete cessation" of fire by Iran-backed Hezbollah, according to a joint statement after US-led talks in Washington.

The two sides, which do not have formal diplomatic relations, also agreed to create "pilot zones" in which the Lebanese armed forces "will take exclusive control of the territory to the exclusion of all non-state actors".

By Enas Alashray and Patricia Zengerle

CAIRO/WASHINGTON, June 3 (Reuters) - Gulf hostilities flared again on Wednesday, with an Iranian missile attack damaging Kuwait's airport and the U.S. military carrying out strikes near the Strait of Hormuz, as diplomacy between Washington and Tehran showed little progress.

The latest flare-up, which sent oil prices up more than 1%, comes with the conflict stalemated in a shaky ceasefire and the Strait of Hormuz largely closed, more than three months after initial U.S. and Israeli strikes on Iran.

DUBAI, June 3 (Reuters) - An Iranian drone and missile attack struck Kuwait's international airport early on Wednesday, causing injuries and forcing authorities to divert flights, Kuwait's state news agency reported.

Theattack caused "severe damage" to the airport's T1 building, the report said, citing the General Civil Aviation Authority.

The U.S. military earlier said two Iranian missiles fired at Kuwait fell short or broke apart en route, and three missiles launched at Bahrain were intercepted by U.S. and Bahraini forces.

June 2 (Reuters) - U.N. Secretary-General Antonio Guterres has written to U.N. Security Council members stressing the need for a continued uniformed U.N. presence in Lebanon after the mandate of the U.N. Interim Force in Lebanon (UNIFIL) expires at the year-end.

By Enas Alashray and Patricia Zengerle

DUBAI/WASHINGTON, June 3 (Reuters) - Hostilities in the Gulf erupted anew on Wednesday with a report of missile attacks on Kuwait, while little progress was evident in diplomatic talks between Iran and the United States.