Daga ƙarshen 14th har zuwa ƙarshen karni na 18, Tbilisi ya sake zama ƙarƙashin mulkin masu mamaye ƙasashen waje daban-daban kuma a lokuta da yawa an ƙone shi gaba ɗaya. A cikin 1386, sojojin Tamerlane sun mamaye Tbilisi. A cikin 1444, Jahan Shah (Shah na garin Tabriz a Farisa) ya mamaye birnin kuma ya lalata shi. Daga 1477 zuwa 1478 garin ya kasance ƙarƙashin Ak Koyunlu ƙabilar Uzun Hassan. Tambaya: Yaushe aka mamaye Tbilisi?
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