Arriva Trains Wales said the matter was an issue for Network Rail and its contractor.
Arriva Trains Wales is also affected with trains unable to run between Newton-le-Willows and Manchester Piccadilly.
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Arriva has offered a 3% pay rise to RMT conductors plus another 5%, based on productivity.
Arriva Trains Wales said it suspended services between Crewe and Chester at about 14:00.
Linsey Frostick, from the Arriva Bus company, says the firm's major problem was in south Buckinghamshire.
Arriva Trains Wales, which runs the service, said its tickets were being accepted on Virgin Trains services.
National Rail said Arriva Trains Wales passengers can use Virgin Trains services on "reasonable routes" during the disruption.
BBC: Salford rail delays after train derailed and caught fire
FirstGroup, Stagecoach, Arriva and National Express have gone to court in an effort to get their money back.
Network Rail is reopening lines as the heavy snowfall stops and Arriva Trains Wales said disruption was easing.
Arriva Trains Wales said delays were possible between Crewe and Chester due to earlier flooding and a landslide.
An Arriva Wales Train service from Rhymney to Barry has hit a tree and partially derailed near Bargoed.
Arriva said it was looking at how to improve stations, and it wanted the "highest standards" for passengers.
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Dacorum Borough Council has approved the project, which will be developed in partnership with Arriva and the county council.
Four companies were bidding to run trains for 15 years from next April: FirstGroup, Arriva, National Express and Stagecoach.
Arriva argued "customers would not have been inconvenienced or confused by the difference".
Mrs Bell's office wrote to Arriva but was not satisfied with the response.
Virgin and Arriva Trains Wales are running replacement buses between Chester and Crewe.
"All lines are now open, but services may still be subject to short notice delay, " said an Arriva spokesperson.
BBC: Wales snow: Roads closed as weather moves to north Wales
The train operating companies, Arriva and SL, may now face an investigation into a possible breach of safety laws.
Virgin Trains, Cross Country and Arriva Trains Wales services were all also affected.
The deal between Wrightbus in Ballymena and VDL Groep in Eindhoven is for the supply of buses to operator Arriva.
He said the force was working with First Great Western and Arriva Trains Wales, which operate services in south Wales.
"This was a minor derailment, where one bogie has come away from the track, " said an Arriva Train Wales spokesperson.
The Bus Corridor Project is being funded by the Department for Transport, Leicester City and Leicestershire County Councils and Arriva.
Twelve modern Class 175 trains, currrently with the Trans Pennine service, will replace older rolling stock in the Arriva Trains Wales fleet.
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Cleaners for Arriva Trains Wales will stage a 24-hour walkout over pay on the day Wales play England in rugby's Six Nations.
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Arriva said it changed the services from 9 January 2011 so buses terminated on Morledge, just 15 metres from the bus station.
In March last year, FirstGroup, National Express, Stagecoach, and Arriva, a division of Deutsche Bahn, were short-listed for the Great Western franchise.
BBC: Great Western London to south Wales rail contest scrapped
Representatives from Arriva Trains Wales and Network Rail were also be present to discuss their role in developing the new rail programme.
Arriva Buses said across all three counties, it was only the number four service in Aylesbury was not running on Monday morning.
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