First Great Western say train services between Plymouth and Cornwall should resume tomorrow.
All mainline journeys were cancelled today due to flooding. It's hoped trains will begin running between Plymouth and St Erth from 10:30am on Sunday.
Rail replacement buses will be operating between St Erth and Penzance.
The Transport Secretary says repair work to the storm damaged train line in Dawlish will be completed by March 18th.
During Prime Minister's Questions this morning, Patrick McLoughlin also said fares around the gap in the line would be discounted and extra replacement buses would be provided.
Plymouth is determined that it is "open for business" in the face of huge transport problems following the flooding and damage to the railway line at Dawlish.
This morning the Prime Minister visited the repair work and promised to do everything possible to help. But Tudor Evans, the Labour leader of Plymouth City Council is calling on Mr Cameron to 'walk the walk' and not just 'talk the talk'.
He made the comment during an interview with our presenter Ian Axton in Plymouth City Centre earlier today.
The dangers of running a track so close to the coast at Dawlish have always been recognised - even before the rail link was built. But what are the alternatives?
Network Rail says it is now actively researching a long term solution and could take the line the line further inland. John Andrews reports
Trains are once again running into Devon from Waterloo after a day-long line closure when part of an embankment slipped away. Meanwhile shipping containers have been brought in as temporary sea defences in the operation to restore the main line at Dawlish
New travel arrangements are being finalised this weekend after the main railway line through Devon was severely damaged by storms. Network Rail say they hope the tracks at Dawlish will be replaced in six weeks.
In the meantime, First Great Western say it's laying on hundreds of buses and is cutting fares by a quarter for journeys crossing the area. From Monday, National Express is running extra coach services between Plymouth and London.
And from next Wednesday Flybe is doubling the number of flights from Newquay to Gatwick.
Network Rail still insists that they'll get the main line open at Dawlish in six weeks time and they may even have help from the army.
The Minister for Transport visited the site today, declaring Devon and Cornwall is open for business.
Seth Conway reports:
Flybe says it is to double the number of weekday flights between Newquay and Gatwick in order to "alleviate" pressure on transport links followed the severed train track at Dawlish.
The broken section of the track has caused major disruptions to train services in and out of Cornwall.
The airline will initially offer the extra flights for a two-week trial period starting on Wednesday February 12.
The extra flights will create an extra 4,500 seats on the route each week.