Here is what Italy's automatic right to live and work for EU citizens require, which is not that automatic...
EU nationals who move to Italy to live, work or study for longer than three months should register their presence at the offices of the local authority (Comune-Ufficio Anagrafe). EU citizens should apply for residency within 8 days of arrival. When registering they must be able to prove that they live, work or study in Italy and have sufficient financial means to support themselves, as well as health insurance. A certificate of registration (attestato d’iscrizione anagrafica) will be issued. This replaces the residence permit card for EU citizens.
The following documents plus copies must be presented:
Passport or other photo ID
Evidence of employment or self-employment
If retired or unemployed proof of sufficient financial resources
Health insurance
For students: evidence of enrolment in an educational facility, sufficient financial resources, a tax identification code, and health insurance
Tax stamp for €16.42; available at tobacconists and post offices
Fee (€27.50)
The registration certificate should be issued immediately and is supposed to be valid indefinitely; however, Italy, like many countries, limits validity to five years. Registration at a new local authority may be required after a change of address. Another document, the Identity Card (Carta d'identità) may be applied for at the same time as the registration certificate. This is valid within Italy only and will be posted to the applicant's home address.