Italy, once the European country hardest hit by the pandemic, has been overtaken by Spain, France and Britain but infection rates have been rebounding rapidly and health services have come under increasing pressure.
Underlining the spread of the disease, spokesmen for both Conte and President Sergio Mattarella said they had tested positive for the virus. Conte's spokesman, Rocco Casalino, said in a statement he had last seen Conte on Tuesday at which time they had worn masks and maintained social distancing.
The new measures, which take effect on Monday, follow two nights of protests in Naples and Rome against curfews ordered in several regions last week.