First ScotRail is the FirstGroup train operating company running domestic passenger trains within Scotland and the cross-border Caledonian Sleeper service to London . The Scottish Government recently announced a change of name for the service to ScotRail - Scotland 's Railway . ScotRail Railways Ltd ( Scottish Gaelic : RÃ ile na h-Alba ) is the FirstGroup-run train operating company running domestic passenger trains within Scotland and the cross-border Caledonian Sleeper service to London using the brand ScotRail which is the property of the Scottish Government .