A one-pot condensation of 5-oxopyrrolidine-3-carboxylic acids, carbonyldiimidazole, and benzamidoximes leads to the formation of the novel 4-(1,2,4-oxadiazol-5-yl) pyrrolidin-2-one bicyclic systems, the structures of which have been confirmed by IR and (1)H NMR methods and by liquid chromato-mass spectrometry. The results of a PASS prediction of the biological activity of the synthesized compounds are presented.