However, there was also a significant fall in the number of tests carried out, and the head of Italy's national health institute, Silvio Brusaferro, said it was too soon to say if the recent decline in daily deaths and new cases would continue.
The number of cases of coronavirus in Italy is probably 10 times higher than the official tally of nearly 64,000, the head of the agency that is collating the data said on Tuesday.
That would raise the total number to over 600,000, the newspaper reported.
Data released by Italy's Civil Protection agency this morning showed 4789 new cases from a day earlier, almost 700 fewer than the day-to-day increase reported yesterday.
"According to Borrelli, the security measures taken by the Italian government two weeks ago are beginning to have an effect". It is believed that as the testing for the disease has been limited to the people seeking hospital care, thousands of cases have certainly gone undetected.
They are also higher than those seen anywhere else in the world.
Borrelli also said that Italy was benefiting from the solidarity of several countries in its fight against the COVID-19, and especially thanked "the Russian Federation, the People's Republic of China, France, and Germany, all of which have provided us with additional staff and means against the epidemic". The country now has at least 6,820 deaths.
Deaths in Spain on Tuesday surged by 514 in one day, the most since the outbreak, bringing its total toll to 2,696.
Most other European nations and some USA states have followed Italy's example and imposed their own containment and social distancing measures created to stop the spread.
Investment bank Goldman Sachs forecast on Tuesday that the Italian economy, already teetering on recession before the outbreak hit, would shrink by more than 11% this year. Italy, however, is trying to import stocks from overseas but because of the global pandemic countries including India, Romani, Russia and Turkey have halted such sales.
Mr Borrelli did not seek to blame anyone or any single factor.
"A lot of countries are now taking very strong measures to distance people, to really quarantine entire societies, and these have been shown to be an important way of slowing down this spread of the virus and buying some time", Harris said.
But he did point to a Champions League match between Italy's Atalanta and Spain's Valencia's football clubs in Milan's San Siro stadium on February 19 as a particularly egregious mistake.
'We can now say, with hindsight, that it was potentially a detonator, ' Borrelli said of the match.
Respirator exports have been banned in Italy since 25 February.