The number of fatalities, by far the highest of any country in the world, account for more than a third of all deaths from the infectious virus worldwide.
Italy's largest daily toll was registered on Friday, when 919 people died. There were 889 deaths on Saturday.
The total number of confirmed cases in Italy rose on Sunday to 97,689 from a previous 92,472, the lowest daily rise in new cases since Wednesday.
Of those infected nationwide, 13,030 had fully recovered on Sunday, compared to 12,384 the day before. There were 3,906 people in intensive care, up from the previous 3,856.
Lombardy, the hardest hit Italian region, reported a rise in deaths of around 416 on Sunday.
More than 662,700 people have been infected by the novel coronavirus across the world and 30,751 have died, according to a Reuters tally.