A truing and dressing machine for profiling an abrasive wheel. The truing and dressing machine includes a truing wheel assembly for positioning the truing wheel relative to an abrasive wheel mounted on an abrasive wheel spindle. The truing wheel assembly includes a truing wheel swivel located between a truing wheel spindle housing and a reciprocation slide that is attached to an infeed slide. An infeed slide swivel is located between the infeed slide and a bottom support swivel plate which is rotatably connected to a base plate. Utilization of both an infeed slide swivel and a truing wheel swivel allows for dressing both sides and the face of the abrasive wheel without having to remove, flip, and reinsert the abrasive wheel into the machine.