Services have resumed on Arriva Trains Wales between Cardiff Central and Barry Island, and between Barry and Bridgend.
Over running engineering works between Cogan and Bridgend have been completed.
Services have been suspended on Arriva Trains Wales between Aberystwyth and Machynlleth after a person was hit by a train.
Disruption is expected to continue until 09:15.
Road transport is being arranged to run between Machynlleth and Aberystwyth.
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Replacement bus service is running on Arriva Trains Wales between North Llanrwst and Blaenau Ffestiniog because of a potential landslip at Pont-y-Pant.
A replacement bus service is running on Arriva Trains Wales between Llanelli and Swansea, and between Gowerton and Port Talbot Parkway.
It is because of a broken down train at Gowerton.
There is a replacement bus service running on Arriva Trains Wales between Wrexham General and Bidston.
It's because of over running engineering works.
There are delays of up to 30 minutes and some cancellations on Arriva Trains Wales between Chester and Wrexham Central because of a fault with the signalling system.
There are delays of up to 45 minutes and some cancellations on Arriva Trains Wales between Wrexham General and Chester because of a fault with the signalling system,.
Rail passengers face significant disruption over Christmas as a number of lines are closed for engineering work.
Network Rail (NR), which manages Britain's rail infrastructure, is carrying out up to 200 improvement projects across the UK during the festive period.
No trains will operate to or from London Paddington between December 24 and December 29 because of work to build the new Crossrail rail link.
That means Great Western Railway trains will terminate at Ealing Broadway.
There will be no late-night trains between Cardiff Central, Bridgend, Newport and the Valleys on Christmas Eve due to significant work around the Welsh capital to bring new signalling and tracks into use.
There will be further disruption from December 27th until January 3rd.
Network Rail says the line between Barmouth and Tywyn in North Wales has reopened after a fire on Barmouth Viaduct last week.
The fire caused localised damage to one of the viaduct spans last Tuesday.
A small amount of remedial works will take place over the coming weeks, with work taking place overnight and at weekends when trains aren’t scheduled to run.
The pedestrian walkway has not been affected by the fire and will remain open for the duration of the work.
An investigation continues.
I’d like to thank the passengers affected by the line closure for their patience while we carried out these essential repairs, and I’m pleased to hear that the line has now reopened.
Safety is our number one priority and unfortunately the damage caused by the fire meant that we had no option but to close the line to carry out this work.
Our engineers will also be working hard over the coming weeks to undertake further repair work to the structure but this will not affect rail services.
Network Rail says the line between Barmouth and Tywyn in North Wales will be closed until next week after a fire on Barmouth Viaduct .
An amended timetable with rail replacement bus services is running
It is expected that the line will remain closed until Monday 10 October, as Network Rail carry out essential repair work to the structure. An investigation into the cause of the fire is underway.
We know how important the line is for the local communities it serves. We’re working hard to repair the damage caused by the fire and to get the line reopened as soon as it’s safe to do so.