The New Zealand Embassy in Rome is not responsible for giving out information about visas for New Zealanders wishing to travel or stay in Italy be it for a visit, work or study, nor can the Embassy make representations on your behalf to the local authorities unless in cases of genuine distress.
Unless you plan to visit Italy under the 3 month visitor visa waiver agreement between Italy and New Zealand, a New Zealand citizen wishing to visit, study or work in Italy must first apply for the appropriate visa from the Italian Embassy in Wellington(external link) or their nearest Italian Embassy(external link).
If you are aged between 18-30, you may be able to apply for a Working Holiday Visa.
It is your responsibility to ensure your stay is covered by an appropriate entry visa and permit. It is a sensible precaution to take photocopies of your visa/permit in case your passport is lost or stolen. The transfer of visas and permits into a new New Zealand passport can only be undertaken by the appropriate local authority.
General information on permits to stay (permesso di soggiorno) can be found on the Italian State Police website(external link). When you arrive in Italy, you should apply for a permit within 8 working days at your nearest questura(external link) unless you are visiting under the visa waiver agreement, in which case you should make a statement to the frontier police (Polizia di Frontiera) when you enter Italy, giving your details.
It is not usually possible to obtain a work permit if you are already in Italy on a visitor’s visa. You will likely need to leave Italy and apply offshore for a work visa.