The fatalities also included a woman who was buried by mud when a landslide invaded her home near Trento in northern Italy, and a man who was windsurfing in Emilia-Romagna. "The strong winds triggered the inundation in Venice as they blew from south to north through the Adriatic Sea".
It's reported that another four people have died as a result of the adverse weather conditions.
Italian media said around 170 people, tourists and hotel staff, were stranded by heavy snowfall at the Stelvio Pass on the Swiss border.
At least eight people were killed and the national Civil Protection Agency issued multiple weather warnings, with many local authorities shutting schools and urging people not to travel unless absolutely necessary.
In France, more than 1,000 drivers were trapped in their cars for the night in the mountains of the Massif Central region as the roads were engulfed in snowstorms.
Large swathes of the country have also experienced flooding, along with powerful winds up to 180kph (110mph).More news: Global Growth In Billionaires Led By China
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In Spain, over 100 soldiers were helping electrical fix crews to reach isolated areas of the northern region of Asturias, blanketed by heavy snowfall at the weekend.
The city, famous for its canals and gondolas and attractive palaces and churches, is frequently overwhelmed by water in the period from October to December, but Monday's flooding was particularly heavy.
Genoa's airport is set to remain closed until 1300 GMT as authorities clear the runways of detritus carried by the heavy rains, wind and tides.
Speaking on Monday, Venice Mayor Luigi Brugnaro said a series of underwater barriers would have prevented the rising water levels.
Officials closed major tourist attractions in Rome, including the Colosseum and Roman Forum, early because of heavy rains.
Almost 80 percent of the city was flooded after water levels rose an estimated 160 centimeters (5 feet, 3 inches) above sea level during the storms. He said that parts of the building, near the main entrance opposite the main altar, were under water for 16 hours.