In 1772 Gliniany became part of Austria's province of Galicia, in the Bezirkshauptmannshaft (District) of Przemyslany where it remained until late 1918. In the interbellum period, it belonged to the Second Polish Republic, as part of Przemyslany County, Tarnopol Voivodeship.
The Jewish population was 2,418 in 1910.[3] In 1940-1961 it was a district center.[4]
Until 18 July 2020, Hlyniany belonged to Zolochiv Raion. In July 2020, as part of the administrative reform of Ukraine, which reduced the number of raions of Lviv Oblast to seven, Hlyniany was transferred to Lviv Raion.[5][6]