 Nyora kupfuurira kweiyi ndima - Dinamo Tbilisi yaive imwe yemakirabhu akakurumbira muSoviet nhabvu uye mukwikwidzi mukuru muSoviet Top League ingangoita pakarepo mushure mekugadzwa kwayo muna 1936. The kirabhu akanga ipapo chikamu mumwe vaitungamirira mitambo nzanga muSoviet Union, All-Union Dynamo mitambo nzanga yakanga nedzimwe mapoka akawanda kunze nhabvu uye akanga anotsigirwa Soviet Ministry of Internal Affairs. Chinhu chikuru chakaita kuti chikwata chacho chive nomukurumbira muEurope kukunda Cup Winners Cup muna 1981, vachikunda FC Carl Zeiss Jena yekuEast Germany 21 mumutambo wekupedzisira muDüsseldorf. Inoramba iri kirabhu chete iri muGeorgia yakambosimudza mukombe mumakwikwi eEurope. Munhoroondo yayo yese, FC Dinamo Tbilisi yakaburitsa vatambi vazhinji vane mukurumbira veSoviet: Boris Paichadze, Avtandil Gogoberidze, Shota Iamanidze, Mikheil Meskhi, Slava Metreveli, Murtaz Khurtsilava, Manuchar Machaidze, David Kipiani, Vladimir Gutsaev, Aleksandre Chivadze, Vitaly Daraselia, Ramaz Shengelia, uye Tengiz Sulakvelidze. Mushure mekuparara kweSoviet Union, yakazoburitsa vamwe vevatambi veGeorgia vakanakisa saTemur Ketsbaia, Shota Arveladze, Giorgi Kinkladze, Kakha Kaladze, naLevan Kobiashvili. 