Device suitable to carry out the controlled pre-rolling of thin slabs leaving a continuous casting plant, in which device the pre-rolling is carried out with a plurality of pairs of rolls grouped together in one or more pre-rolling assemblies, the first of the pre-rolling assemblies being positioned immediately downstream of foot rolls of a mold, at least one displaceable roll being included in the pairs of rolls, the pairs of rolls being associated with pressure transducer means and hydraulic capsule means, position transducer means being comprised, the pressure transducer means and position transducer means being associated with a control and data processing unit, at least the first of the pairs of rolls processing a slab which has just left the mold and has a thin solidified skin, the device being characterized in that it includes, associated with the control and data processing unit, means to monitor the temperature of a liquid bath in a tundish, means to monitor the temperature of the slab, and means to monitor the speed of the slab.