The firm is facing the hefty charge after overrunning engineering works caused thousands of trains to be cancelled on one of the busiest days of the year.
Temperatures are set to plunge to -10C overnight as more harsh weather is expected across the UK today.
Rain showers are due this morning which will clear much of the snow away but motorists should be wary of icy patches.
Met Office forecaster Simon Partridge said: "We will still have showers, which is likely to mean the snow will not settle.
"But it is going to be very cold indeed, as low as 4 or 5C in the south and 2C in the north."
Network Rail is facing a multi-million pound fine after overrunning engineering works caused thousands of trains to be cancelled on one of the busiest days of the year.
An investigation has been launched after the "unacceptable problems" which caused King's Cross and Paddington stations to close.
While London's Finsbury Park, where many travellers were diverted, was forced to close due to overcrowding.
Network Rail's managing director Robin Gisby apologised for the mayhem saying he was £deeply sorry" for the disruption.
He added: "We've had an army of 11,000 engineers out over Christmas Day and Boxing Day at 2,000 locations nationwide.
"Over 90% have been completed and handed back to-time but I realise this is no consolation for the thousands affected today."
He said Network Rail would pay compensation to train operators, but would not say whether affected customers will be in line for pay-outs.
In July this year the firm was fined a record £53.1 million by the rail regulator for "shortfalls in performance".
A man has been charged over the fatal shooting of a 22-year-old man in Sheffield.
Jordan Thomas died after being shot in a car in the city centre on Sunday night.
Asif Yousaf, 32, of Violet Bank Road, Sheffield has been charged with his murder.
Yousaf was also been charged with the attempted murder of a 27-year-old man who was seriously injured in the same attack but has since been released from hospital.
He will appear before magistrates in Sheffield on Monday.
A 25-year-old who was also arrested on Thursday has been released on bail pending further enquiries, South Yorkshire police said.
At least 15,000 drivers have been left stranded in the French Alps because of heavy snowfall, AFP reports.
The snow hit as a rush of holidaymakers were heading to and leaving from ski resorts in the Savoie region in southeastern France, where authorities set up emergency shelters in at least 12 towns according to the news agency.
France's Interior Minister Bernard Cazeneuve urged drivers "to exercise the utmost caution" and asked people to delay their trips if possible.
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More than 2,000 workers will lose their jobs on New Year's Eve because of the collapse of parcel delivery firm City Link, union officials have claimed.
The RMT has been in crunch talks with administrators Ernst and Young today in a bid to hammer out a deal to prevent thousands of redundancies at the firm.
But after being locked in discussions all day, union bosses said they are no closer to a deal.
They have urged Business Secretary Vince Cable and the Government to step in immediately to help broker a rescue package to salvage the jobs.
RMT General Secretary, Mick Cash said: "We want to put a plan together for a Government-backed rescue that protects the business and the jobs it supports. If the Government can nationalise the bankers then they can nationalise City Link, which is clearly in the public interest."
Idris Elba has jokingly responded to rumours which emerged from the Sony hacking story putting him in the frame as the new James Bond.
The leaked Sony Pictures Entertainment emails sparked speculation as one message reportedly from chairman Amy Pascal read: "Idris should be the next Bond."
Elba has previously not commented on the story or the views of some commentators that Bond should not be played by a black actor.
Network Rail confirms disruption to trains in and out of London's Paddington station will continue until at least 11.30pm.