Some trains between Bristol Temple Meads and Bath Spa may be cancelled due to a person being hit by a train.
Currently all lines are blocked and train operator First Great Western says customers should check before they travel.
Glastonbury Festival founder Michael Eavis has had a train named after him at Paddington Station today.
The ceremony in London saw Mr Eavis' name and the Glastonbury logo put on a First Great Western train, which will run between London, Wales and the South West.
One of its stops is Castle Cary, the nearest station to the festival's site in Somerset. Fifty extra trains will be travelling this route during this year's event in June - the 45th year the festival has run.
Act confirmed for this year include Kanye West, the Foo Fighters and Motörhead.
Rail companies say they've prepared contingency plans to make sure passengers get home if weekend engineering works overrun.
Services across the west country have been disrupted over Easter because of work taking place further up the line at Reading. Network Rail has promised to prevent a repeat of the chaos that happened over Christmas.
Rail services have been suspended between Bristol Temple Meads and Bristol Parkway following reports that a person had been hit by a train at Filton Abbey Wood.
There is disruption on First Great Western services between Bristol Temple Meads and Salisbury after a road vehicle hit a bridge at Trowbridge.
All services on this line may be delayed, cancelled or diverted
Trains have been suspended on First Great Western services between Bristol Temple Meads and Bath Spa after a person was hit by a train at Oldfield Park.
As a result, services running through these stations may be cancelled or delayed by an hour. Trains are being diverted via Bristol Parkway.
There is disruption on First Great Western and South West Trains in Wiltshire after a vehicle went into a railway bridge. All lines between Trowbridge and Westbury are blocked and it is not clear when normal service will resume.
There are delays of up to 15 minutes on First Great Western services between Cam & Dursley and Gloucester after a bus hit a level crossing barrier.
Trains are having to run through the area at reduced speed. It is not known when normal service will resume.
A rail union will protest across the region today in a campaign against the removal of buffet cars on First Great Western trains.
The RMT says losing the buffet cars will lead to job losses and an 'upstairs downstairs' service on West Country trains. Events will be taking place at Bath Spa and Bristol Temple Meads from 7 o clock this morning.