The Saudi-led coalition combating Iran-backed Shiite rebels in Yemen denied the accusation, saying no operations were carried out near the mission.

Shiite-dominated Iran also announced a ban on imports from its Sunni-ruled rival.

That comes days after Saudi Arabia broke off diplomatic ties with Iran in response to an arson attack on its own embassy in Tehran by protesters infuriated by Riyadh's execution of a prominent Shiite cleric.

Tehran said an unspecified number of embassy staff had been wounded in the raid on the rebel-held Yemeni capital Sanaa, which has been targeted by months of coalition air strikes.

"The Islamic republic reserves the right to pursue its interests in this matter," he said.

Later, Deputy Foreign Minister Hossein Amir Abdollahian said that "during an air raid by Saudi Arabia against Sanaa, a rocket fell near our embassy and unfortunately one of our guards was seriously wounded".

Iran also announced that a ban on Iranians travelling to the Saudi holy city of Mecca for the year-round minor pilgrimage, known as the umrah, would remain in place indefinitely.

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