Processes for pre-sharpening cutting structures comprising particles of superabrasive material such as diamond grit, dispersed in a metal matrix material such as cemented tungsten carbide. Matrix material may be removed from a surface of a cutting structure to a desired depth to expose superabrasive particles within the matrix material adjacent the surface, and to increase exposure of partially exposed superabrasive particles at the surface. Electrodischarge machining (EDM), laser machining, electrolytic etching and chemical etching may also be employed. Pre-sharpened cutting structures are also disclosed.