A staff member in An Post is being investigated for the alleged theft of letters and small parcels.
Gardaí confirmed they are looking into the incident in the Dublin 12 area.
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A number of undelivered letters and small packages have since been found following an extensive investigation and are being sent out to customers.
An Post apologised to those affected and described it as a "serious service failure".
The company has also set up a dedicated phone line for anyone affected.