The death toll in Italy has risen by another 349, taking the total to over 2000.
The latest spike in fatalities comes just a day after the country recorded its highest virus-related death toll yet, with 368 people dying.
The European country now has 27,980 cases of COVID-19, with the death toll standing at 2158.
The epicentre of the coronavirus outbreak has shifted to Europe in the past weeks, after spreading from China late last year.
French President Emmanuel Macron has imposed strict movement restrictions. People have been told to stay at home and refrain from leaving unless it is for essential activities. He also warned that anyone flouting the rules will be punished.
The measures will last for at least 15 days.
In Britain, Prime Minister Boris Johnson has urged people to stop all non-essential social contact and travel, warning anyone showing symptoms to self-isolate for 14 days along with their entire household.
"It looks as though we are now approaching the fast growth part of the upward curve and without drastic action, cases could double every five or six days," Johnson said.
The country's chief scientific advisor Patrick Vallance said although schools may close in the near future, the time had not yet come to introduce such measures.
"At some point, as we've said, it may be necessary to think about things like school closures. But those things, again, need to be done at the right time in the right way, at the right stage of the outbreak," Vallance said.
The death toll in the UK stands at 53.
Spain's 47 million people have been under partial lockdown since Saturday, allowed to leave their homes only to go to work, buy food or visit a pharmacy or hospital.
There have been 297 deaths in the country so far, and 8744 cases - the fourth highest number of reported cases in the world after China, Italy and Iran.
A state of emergency has been declared and more than 1000 troops have been deployed in 14 cities across the country to enforce the partial lockdown.
In Germany, religious services and sports events have been banned and the Government announced plans to close most shops and limit restaurants' opening hours.
Schools in the country have already been closed.
Border controls with Austria, Switzerland, France, Luxembourg and Denmark were also introduced.
Twelve people have died in the country and more than 5000 have been infected.
Portugal has confirmed its first death, with the country's health minister saying more were expected. The country has so far recorded 331 cases.
Officials were meeting on Wednesday to decide whether a state of emergency should be declared.
In Switzerland, coronavirus has been declared an "exceptional emergency", with all public and private events banned and 8000 members of the military mobilised - the biggest military mobilisation since World War II.
At least 14 people have died in the country and more than 2330 have tested positive for the virus.
Greenland - a Danish dependency - also recorded its first case of the virus, with the country's premier saying since the country doesn't have testing facilities all tests had to be flown to Denmark for analysis.
Worldwide, the virus has spread to 142 countries, with more than 168,000 cases confirmed. The death toll stands at more than 6500.