Eurostar cancelled four services today between London and Brussels and Paris.
But a spokesman for the company said the cancellations had nothing to do with the snow-related technical problem which caused a suspension of its services for three days before Christmas.
The company said passengers on its cancelled services could exchange tickets for travel on another day and that those delayed by more than 60 minutes could get a free single ticket or 50 per cent off a return ticket.
The National Rail Enquiries website crashed this morning after a surge in demand from passengers trying to find information about delays and cancellations.
Southeastern is running either half-hourly or hourly trains from most of its mainline and metro stations, but its high-speed service to London St Pancras is running as normal.
There were no services operating between Sheffield and Leeds on East Midlands Trains.
London Overground services between London and Watford Junction in Hertfordshire is suspended, while the Northern line is closed between High Barnet and Archway. The Piccadilly line is suspended between Acton Town and Rayners Lane.
First TransPennine Express was unable to run any trains between Carlisle and Edinburgh.
There were no services between Glasgow and Edinburgh on CrossCountry services, while buses replaced trains between Inverness and Perth in Scotland.
Virgin Trains intends to run a full service today but warned adverse weather conditions could cause delays and cancellations across the network.
Rails failed elsewhere in the world due to the snow and cold weather. Workers rescued passengers from trains stranded in Shangdu, Inner Mongolia, Vorkula, Russia and South Korea. This seems to be a recurrent problem in China where less than a year ago bad weather shut down 136 electric passenger trains, stranding over 90,000 passengers. The Beijing to Hong Kong train delayed 300 passengers for 47 hours. That's right, almost two days stuck in a train; the horror!
Meanwhile in Cincinnati, some trolley proponents keep trying to perpetuate the myth that rail is somehow invincible to weather. Overblown exaggerations regarding rail are getting old. Overwhelming evidence clearly shows it is just as susceptible to the same laws of physics as every other mode of transportation.