 On February 3, 2008, Alvertis was chosen as one of the 50 Greatest EuroLeague Contributors, over the previous half-century by the Euroleague Basketball Experts Committee, in recognition of his major contribution to Panathinaikos' rise on the continental scene.Alvertis is commonly referred as one of the best pure shooters of European basketball during the 1990s, and the beginning of the new millennium.He won the Greek League Three-Point Shootout Contest three seasons in a row (1996 I, 1996 II, 1997), and averaged 0.410% shooting from three-point range throughout his EuroLeague career.