Mar 17, · Answer 1 of I want to travel from Glasgow to London (Euston) on Virgin trains in June 19th. Is it better to book early or at . Virgin trains is a train operating company, and does run trains on the UK network. Virgin trains is sort of split into 2 companies, Virgin Trains, and Virgin Trains East Coast. VTEC operates on the east coast of the country, and Virgin Trains operates on . Full details on Virgin Trains: train timetables, email and phone contact numbers, restrictions and rail engineering works. Buy tickets for Virgin Trains journeys.