Science fiction and fantasy in Estonia is largely a product of the current post-Soviet era. Although somewhat earlier authors, like Eiv Eloon and Tiit Tarlap, do exist. Eesti Ulmeühing is an organization for print science fiction in Estonia that puts out an award called Stalker for the Andrei Tarkovsky film Stalker that was largely shot in Estonia.
In film the works of Raul Tammet have been analyzed.
A selection of Estonian writers who have won multiple Stalkers
References
Estonian science fiction Wikipedia(Text) CC BY-SA