The Iraqiya TV says three Iraqi women were among those wounded in Thursday's attack.
Syrian anti-regime activists say the attack struck the building that houses the consulate section within the Iraqi embassy complex in the upscale Abu Roumanneh district of Damascus.
The Britain-based Syrian Observatory says there are casualties but did not provide a figure.
There was no immediate claim of responsibility for the attack. Rebels fighting to topple President Bashar Assad's regime often fire mortar rounds into the Syrian capital, the seat of his power.
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