Italy bans entry from 13 countries
Starting from July 9 and at least until July 14, entry into Italy from one of the following countries is absolutely not allowed: Armenia, Bahrain, Bangladesh, Brazil, Bosnia and Herzegovina, Chile, Kuwait, North Macedonia, Moldova, Oman, Panama, Peru, Dominican Republic. Individuals who have travelled or stayed in one of these countries in the 14 days preceding the intended entry date in Italy are banned from entering the country.
The only exception to the ban is for citizens of Italy, EU, Schengen countries, UK, Andorra, Monaco, San Marino and Vatican city and their family members on condition that they are registered as residents in Italy before July 9, 2020
On another note, whoever enters Italy is required to fill out, sign and submit to the carrier or to police authorities a self-declaration (LINK)
For additional information https://www.esteri.it/mae/it/ministero/normativaonline/decreto-iorestoacasa-domande-frequenti/focus-cittadini-italiani-in-rientro-dall-estero-e-cittadini-stranieri-in-italia.html (Italian only, English translation will be available soon)