An attack was carried out at Sighthill Primary School on Saturday leaving a door and window damaged in an apparent act of vandalism.
The council say the school building has now been secured and that they are looking to address repairs to the damage.
A Police Scotland spokesperson said: “Enquiries are ongoing after the report of vandalism to a school building in Calder Park, Edinburgh shortly after 4am on Saturday, 20 July 2024.
“Anyone with information should contact Police Scotland on 101 quoting incident number 0650 of 20 July 2024.”
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