This invention is of an automated flash removal apparatus which features counter-rotating trimming wheels which are positioned against the molded flexible urethane part or the molded flexible polyvinyl chloride part. The force of the trimming wheels against the part undergoing the flash removal process is adjustable and is controlled by opposing tension springs. The trimming wheels may by set at any angle to the part so as to enhance the flash removal characteristics. The trimming wheels are guided along the sides of the part by interchangeable guide bars which may be profiled to accommodate parts which present surfaces that are not substantially straight. The trimming wheels utilize a textured pattern which operate to abrade the flash from the part, thereafter polishing the part on the return pass.