codice fiscale (fiscal code number);
permesso di soggiorno (stay permit);
If you are a member of the European Union, you don't really need to have other
documents.
In addition to the above, non-EU citizens must have:
residenza (residency status certificate or receipt for request of one);
nulla osta TV-radio (import authorization for TV and radio, if applicable);
They must also have several copies of the inventory list.
When the above documentation cannot be produced, some moving companies can
negotiate the payment of a bond so as to clear customs.