In 1027, Kvirike joined the combined armies of Bagrat IV of Georgia led by Liparit Orbeliani and Ivane Abazasdze, Emir Jaffar of Tiflis, and the Armenian King David I of Lorri against the Shaddadid emir of Arran, Fadhl II, who was decisively defeated at the Eklez River.

Around 1029, Kvirike III defeated an invasion force led by the Alan king Urdure who had crossed the Caucasus Mountains into Kakheti and ravaged Tianeti.

[3][4] Two series of silver coins of mixed Christian-Islamic design stuck under Kvirike III were found in 2012 and 2013 at Çuxur Qəbələ in Azerbaijan and Sisian in Armenia.

The coins bear the name of Kvirike in Arabic (as Abu-l'Fadl Quriqi b. Da'ud), the Islamic symbol of faith (shahada), and the names of Abbasid caliphs — Al-Qadir (r. 991–1031) and Al-Qa'im (r. 1031–1075) — on the obverse, an indication of Kvirike's acceptance, at least nominally, of the Abbasid suzerainty as a means to fend off the Bagratid expansionism.

[5] The reverse of the coins contains the image of a horseman identified in the Georgian asomtavruli letters as St. George defeating Diocletian, the earliest known monetary depictions of the saint.