Eu/EEA/Swiss citizens, holding a valid European Health Insurance Card (EHIC) are covered in any of the 27 EU countries, Iceland, Lichtenstein, Norway and Switzerland for emergencies and medical care by a general practitioner - GP (medico di medicina generale).
The EHIC (Italian acronym TEAM) is issued by the healthcare national provider in the country of residence and it covers for short stay (less than 90 days).
For overstay period you might be entitled to keep using your EHIC unless you have not moved your permanent residence in Italy. A patient contribution is required for prescriptions, medical examinations, oral and dental care.
Attention: You will benefit from the Italian SSN services without being registered with. You will be asked to always show your EHIC when visiting doctors (GP or pediatrician) or hospitals of SSN.