An internal combustion engine includes first and second common rails each having a metering or pressure regulating valve, with the valves settable at different pressure values from one another. Rotors are each sealingly and rotationally received within a respective cavity to define at least one combustion chamber of variable volume. The engine includes first and second fuel injectors for each of the rotors. Each first fuel injector is in fluid communication with the first common rail and each second fuel injector is in fluid communication with the second common rail. A method of feeding fuel in an internal combustion engine is also provided.