The data breach saw the personal details of almost 10,000 asylum seekers inadvertently made available on the Immigration Department's website for more than a week.
The Privacy Commissioner Timothy Pilgrim is examining 1600 complaints and a conciliation process is underway.
The commissioner has the power to make a broad range of orders including the payment of compensation.
Amnesty International says it welcomes the Commissioner's intervention but has a number of concerns.
Amnesty's Serina McDuff spoke with Greg Dyett
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