A multiscrew extruder device for production of elastomeric compounds is intended for manufacturing tires for vehicle wheels. The device includes a holding body; a mandrel inserted in the holding body extending along a longitudinal axis and delimiting an annular chamber with the holding body; and a plurality of extrusion screws disposed in the annular chamber and parallel to the longitudinal axis. A first circuit for a heat-exchange fluid for temperature control is formed in the mandrel and includes a central channel extending in the mandrel along the longitudinal axis and a plurality of parallel peripheral channels extending in a peripheral portion of the mandrel close to the annular chamber and in fluid communication with the central channel.