After a short hiatus, the trains to and from Russia are now again running. Currently the route travels from Tallinn to St Petersburg and then on to Moscow. Operated by a Russian company, Gorail services the Estonian side of things, offering tickets and information for those wishing to make the journey to Russia. See website for full price list, schedules and visa requirements if applicable.
Gorail info and ticket office are open at Balti jaam train station 08:30 - 19:00.