Forecasters are predicting a snow-free day today as the south east attempts to return to some kind of normality after yesterday's battering.
Trains are running, with operators saying the normal timetable will be adhered to as far as possible, although commuters are being warned there could be some cancellations.
A Southern Railway spokesman said: "We intend to run the advertised service today, although due to the weather conditions, there may be some short-notice cancellations.
"We will, in some cases, run longer trains than normal to provide extra capacity."
However, services to Caterham and Tattenham Corner have been disrupted, he added.
"There will be a shuttle train service between Purley and Caterham connecting with the London Bridge to Tattenham Corner service," the spokesman said.
"If you are travelling between London and Caterham you will need to change at Purley."
Meanwhile, the weather forecast is predicting freezing temperatures despite the lack of snow.
Drivers are being warned of freezing fog and icy roads as the cold snap continues, with temperatures struggling to break 0C.
And snow is set to return later in the week ahead of the Christmas getaway.
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