This work aims to assess the potential for wave energy production in the Italian seas by the deployment of arrays of heaving point absorbers, specifically optimized for mild climates. We model a single-body WEC, consisting of a cylindrical heaving buoy, attached to a linear electric generator placed on the seabed. The model includes both hydrodynamic and electromechanical forces. The results show that the best buoy-generator configuration at the selected sites (Alghero and Mazara del Vallo) is given by a 6 to 10 kW device and with a buoy with diameter between 4 and 5 m. This device can be brought to resonance, increasing the performances, by adding a submerged sphere. These results are encouraging and enlarge the perspective on wave energy production in the Italian seas.