On 29 July 2020, the Italian Government decided to extend the nationwide state of emergency until 15 October 2020 and are likely to extend again, foreseeably until at least the end of 2020, due to the health risks posed by the spread of communicable diseases, especially COVID-19 caused by the new SARS-CoV-2 coronavirus.
They further extended the travel regulations to/from foreign countries set out in the Decree of 7 August 2020, from 8 September to 7 October 2020, with several slight amendments and integrations. Again, these restrictions & regulations are likely to be extended over time.
You can check the latest travel regulatory information here.
Further travel restrictions may be imposed, with regard to specific areas of the country or travel from certain foreign countries and territories.
Also, the individual Italian regional authorities may impose restrictions on travelers from certain foreign countries or territories.
Travelers intending to travel or return to Italy are advised to check whether any new provisions have been introduced by their region of destination, either by directly contacting the local authorities or checking out the respective websites.