A device for the continuous reprofiling of the rails of railroads includes at least one abrasive rail reprofiling unit ( 2 ) guided along the railroad tracks and comprising at least one abrasive disk ( 3 ) that can be pressed against a rail ( 1 ). This device notably includes at least one abrasive-waste pickup ( 20 ) having at least one segment forming a collection port ( 21 ). This segment is placed in the immediate vicinity of at least one abrasive disk ( 3 ) and into the geometric axis ( 41 ) of the major waste jet ( 40 ) produced during operation of this abrasive disk ( 3 ). The segment ( 21 ) simultaneously cooperates with means for transporting the waste. Moreover, each waste pickup ( 20 ) includes elements for reflecting and absorbing the kinetic and thermal energy that allow the formation of agglomerations of matter on the pickup to be avoided. |