New Bocce Club Pizza Location Coming to Western New York Buffalo-style pizza is a way of life here in Western New York. Anywhere you go in the Buffalo area, there is Buffalo-style pizza, although some are more "distinct" versions of Buffalo-style than others. Bocce Club Pizza just may be the most authentic Buffalo-style pizza out there. The slightly thicker crust. Extra cheese. Cup-and-char pepperoni. Sweeter sauce. Toppings and cheese that extend to the crust. It's truly a work of art. If you live in Clarence and were hoping for a Bocce Club Pizza to show up there, you're in luck.