More than 80 dead in European winter weather
Temperatures in Ukraine are expected to improve by Wednesday
More than 80 people have died across Europe as days of snow storms and sub-zero temperatures swept the continent, causing traffic chaos for millions.
At least 42 people have frozen to death in Poland over the last three days and another 27 in Ukraine.
Another 13 people died in car accidents in Austria, Finland and Germany, where temperatures fell to -33C (-27F).
Air, rail and road transport links were disrupted across northern Europe where more snow was expected in coming days.
Eurostar said it would run a "restricted" service on Tuesday after a three-day shutdown stranded some 75,000 people.
Only passengers originally due to travel Saturday or Sunday would be eligible, and the remaining backlog would be cleared over the next few days.
The crisis prompted French President Nicolas Sarkozy to call the head of national rail carrier SNCF, the majority stakeholder in Eurostar.
Meanwhile Eurotunnel - which carries vehicles under the Channel between England and France - said its terminal at Folkestone was at "saturation point" and closed its shuttle car service to new arrivals.
In Poland, police appealed for people to help if they came across homeless or drunk people lying outside, as temperatures dropped towards -20C in some areas.
Most of the 42 people who froze to death in the country over the weekend were homeless, police said.
Meanwhile, one restaurant owner offered tens of thousands of homeless people a hot meal in Krakow's main square.
"The food is not the only important thing," restaurateur Janusz Kosciuszko was quoted as telling Euronews.
"What is also important is that these people know that someone is thinking about them."
Cold-related deaths were also reported in France, where two homeless people died.
Treacherous travel conditions also caused havoc for rail services.
Fifty people were injured when a train hit a buffer in the Croatian city of Zagreb, while 36 were injured when a passenger train derailed in Paris.
Parts of the continent saw 20in (50cm) of snow over the weekend.
In France, Germany, Belgium and the Netherlands, airport operators struggled to clear runways amid thick snowfall, with major disruption to flight patterns.
In France, a second wave of snowstorms hit the country's north on Sunday with Paris' Charles de Gaulle airport warning as many as one in five flights was likely to be cancelled on Monday.
Germany's third largest airport - in Dusseldorf - was also closed because of Sunday's heavy snow.
In Belgium, the three biggest airports - Brussels, Charleroi and Liege - were completely shut. Severe delays and cancellations were reported at Amsterdam's Schiphol airport.
Moscow said it was deploying 9,000 snow ploughs to clear the city's streets.
Temperatures were forecast to rise later in the week.