Conde also took to task the young people who have been gathering at night to drink and have a good time during the public health emergency that started on February 21.
"This night life...we can't allow this anymore,"Conte said.
Under the weekend decree that applied to regions in the north,pubs,restaurants and cafes are required to close at dusk. Now the mandatory early hours will affect all of Italy.
On Saturday night,alarmed at rumours over a quarantine in the north,many Italians fled the targeted regions in the northern"red zone". Some 16 million residents live in that first lockdown,in the north,in populous Lombardy,which includes Milan,and 14 provinces in the north,including that of Venice.
Elsewhere in Europe,other countries are also beginning closures. Spain,with 1204 cases and 28 deaths,will close schools and universities in Madrid and the Basque capital Vitoria.
Germany reported 210 new cases,taking its total to 1112,new infections in the Netherlands rose to 321,up from 264 a day earlier,and Albania and Bulgaria reported their first cases.
Britain,which has 319 cases and three deaths,said anyone returning from Italy must self-isolate. However,the British government declined to enact travel bans,with Health Secretary Matt Hancock saying there was no evidence they worked.
"The evidence shows that banning flights from affected areas does very little to protect you,"Hancock said.
'The evidence shows that banning flights from affected areas does very little to protect you.'
Matt Hancock,British Health Secretary
As of Tuesday evening,there are now more than 114,300 cases of coronavirus and 4026 deaths across 112 countries and regions,according to a Reuters tally. Almost 4300 cases and 199 deaths were reported in the previous 24 hours.
Seven countries outside China reported more than 1000 cases,three with more than 7000 - Italy,South Korea and Iran.
Patrizia Peluso arrived in Milan on Monday afternoon from a five-day holiday with her two children in Lapland,Finland.
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They had to reroute their return flight through Rome after airlines cancelled flights to Milan. They grabbed a Naples-Turin train in Rome,connecting two cities not subject to the quarantine,and were among the few passengers to get off in Milan.
Before letting them pass the gates,soldiers confirmed their residence in Milan and asked their reason for travelling.
"I explained we were away on holiday and I have to return to work. If not,I wouldn't have come back at all,"Peluso said.
The first thing she has to do when she gets home:buy groceries.
"We have nothing to eat at home. But I hear you have to wait in lines to get into stores,"she said."I hope that everything goes well."
AP