The Civil Protection department said 756 people had died in the last day, bringing the total to 10,779 — more than a third of all deaths from the virus worldwide.
There were 133 fewer deaths than the 889 deaths reported on Saturday, when the numbers fell from a record high of 919 on Friday.
While the total number of confirmed cases rose to 97,689 on Sunday from a previous 92,472, it was the lowest daily rise in new cases since Wednesday.
But despite hopes by Italian officials that the downward trend would continue, it appeared increasingly likely that restrictions on all but essential activities that were due to expire on Friday would be soon officially extended.
“The measures that were due to expire on April 3 inevitably will be extended,” Regional Affairs Minister Francesco Boccia told Sky TG24 television.
He said the timing would be decided by Prime Minister Giuseppe Conte and the government based on data from the medical and scientific community.
“I think that it would be inappropriate and irresponsible to talk of re-opening (schools and production sites),” Boccia said.