Punta della Croce is the summit directly East from Punta Fiames, lying between it and Campanile Dimai. The South Face has several routes, most notably the "Original Route," (UIAA Gr. III-IV), and the "Direct South Face," (UIAA Gr. IV-V).
The approach is from the same starting point as for Spigolo Fiames, near the Hospital. Climber's trails provide access to the South Face.