Both platforms at Uphall station were closed, to allow emergency services to deal with the incident.
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ScotRail informed customers of the incident in a Tweet with a number of services impacted.
Their social media message read: ‘Due to a police incident at Uphall station, our services between Bathgate and Edinburgh will be delayed or revised.
Rail services have since resumed with ScotRail tweeting: “Our Helensburgh to Edinburgh via and Milngavie to Edinburgh via Bathgate services can now call Uphall again as scheduled. We are sorry for the inconvenience caused to our customers tonight.
“The disruption caused by police to an incident near the railway line earlier today in Uphall has now ended. Services running through the station are no longer affected.