A spokeswoman for EUPOL, Sari Haukka-Konu, said that one non-mission member who was traveling in an EUPOL vehicle had been killed. She had no details on the nationality or identity of the deceased.
"All mission members who were in the vehicle are in a safe place and their injuries are not believed to be fatal," she said. "A non-EUPOL person inside the vehicle is deceased."
Of the 18 wounded, he said eight were women and three were children. He said three foreigners had been wounded. EUPOL's website said three of its personnel had sustained non-fatal injuries.
The car bomb was detonated near the office of the Afghan Civil Aviation Authority, which is a few hundred meters (yards) from the airport terminal, early this morning, said Najib Danish, the deputy spokesman for the Interior Ministry.
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Nearby homes and shops were damaged, and the road - choked with traffic throughout the day as vehicles pass through a slow-moving checkpoint into the airport - was strewn with the charred remains of a number of cars.
A Taliban spokesman claimed responsibility for the attack in a statement emailed to media. The Taliban, who have waged war in Afghanistan for more than a decade, launched their warm weather offensive in late April.
The insurgents claimed responsibility for an attack on a Kabul guesthouse last week that left 14 people dead, including nine foreigners.
Earlier today, a magnetic bomb attached to a vehicle exploded in the eastern suburbs of Kabul, wounding one person, Sediqqi said.