Italy is under a 10 p.m. to 5 a.m. nationwide curfew, with bars and restaurants closing at 6 p.m., while certain areas face harsher restrictions.
Residents in "red zone" regions -- Lombardy, Piedmont, Valle d'Aosta and Calabria -- may only leave home for necessities, health or work. Those in "orange zones" are banned from leaving their towns except for work or health reasons -- and bars and restaurants are closed except for delivery and takeout.
Italy reported 35,505 new cases and 445 deaths Thursday, taking its case total to 824,879 and fatalities to 40,192, according to health ministry data.
These figures "are not a good sign," said Gianni Rezza, director of the prevention department at the ministry. "The virus is running and we have to stop it."
In neighboring France, Paris also announced stricter measures as the country reported a record 58,046 new cases Thursday, according to the French health agency. The country has Europe's highest case number, at 1.6 million infections.
From Friday, food delivery, takeout and alcohol sales are banned in Paris between 10 p.m. and 6 a.m., police said.
"The second wave is already upon us, and it is brutal," French health minister Olivier Véran told a news conference Thursday. If the virus keeps spreading at this rate, he said "the second wave could be worse and longer" than the first, and could take "until mid-December" to stabilize.
Véran urged people to respect the national lockdown, or face "a high risk of saturation" of hospitals by mid-November.
And in Germany, authorities on Thursday registered more than 20,000 Covid-19 cases in a single day for the first time. The rise comes amid renewed efforts to curb the spread of the virus that on Thursday saw 21,506 new infections across Germany, an increase of more than 1,600 compared to the previous day.
Fresh lockdowns as case spike
Greece will enter a three-week national lockdown from Saturday after reporting almost 10,000 new cases in five days, Prime Minister Kyriakos Mitsotakis announced Thursday.
People will need to text the authorities before leaving home and high schools will close.
Denmark also announced new restrictions in seven municipalities after scientists identified a mutated strain of the coronavirus linked to the mink population. According to the government, the mutated form of the virus has been passed back to humans from the small mammals.
All mink in the country will be killed because of the concerns over a mutation of the virus, the country's Prime Minister Mette Frederiksen said Wednesday.
Danish cafes and pubs will close from Saturday, along with indoor sports venues, cultural centers and public transport, and people should avoid travel outside their area.
Meanwhile, UK Foreign Secretary Dominic Raab and Swedish Prime Minister Stefan Löfven are both in self-quarantine after potential coronavirus exposure, it emerged Thursday.
A UK government adviser told CNN that Raab was "informed that an individual with whom he has been in recent close contact with has tested positive," as England entered a month-long second national lockdown.
Löfven said a person in his vicinity came in contact with someone with Covid-19 but had tested negative.