A cooling circuit comprises a cylinder block and a cylinder head block, these blocks each including cooling elements the form of integrated portions of circuit. The cooling circuit also includes at least a first, a second and a third separate external loops for external recirculation or reinjection mounted in parallel and looped on the integrated cooling elements. A circulating pump is connected fluidically to the integrated cooling element and to the three recirculation loops causing the fluid to circulate in the integrated cooling element and in the three recirculation loops. The at least three recirculation loops offer at least one common fluid node and are at least partially overlapping. A single actuator controls the flow of liquid circulating in the at least three recirculation loops.