The island's mayor appealed to the Italian government to deal with the issue after local media reported that many people took to sleeping on mattresses outdoors after the housing centre had filled up.
More than 7,600 people, many of them rescued from flooded villages, were taking shelter in evacuation centres.
The plan has been heavily criticised by human rights groups including UN human rights chief Michelle Bachelet.
The twin-turboprop Beechcraft King aircraft appeared to suffer engine failure after take off and "exploded" on impact when it crashed into a shopping mall in suburban Melbourne.
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