Deputy Foreign Minister Khaled al-Jarallah expressed Kuwait's "amazement" at the claim that one of its air bases had been among those used to carry out the January 3 attack, KUNA said.
It said he was referring to a statement by Brigadier-General Amirali Hajizadeh, aerospace commander of Iran's Revolutionary Guards.
"MQ-9 UAVs (drones) were flying in the region (at the time of the attack) that had mostly taken off from Kuwait's Ali al-Salem" base, Hajizadeh told Iranian state television on Thursday.
Jarallah told the ambassador, Mohammed Irani, that Kuwait had already denied any role in the deadly attack in Baghdad.
He said such a claim "risks damaging relations" between Kuwait and Iran.
Soleimani had been at the centre of power-broking in the region for two decades as chief of Iran's external operations Quds Force of the elite Revolutionary Guards.
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