Abstract: A system for making a composite block, including a block body formed of mortar or concrete and a covering material such as a tile, natural stone or mortar sheet applied to the upper surface of the block body, includes an applicator for applying an adhesive material to the block body or covering material. The system also includes a press for loading vibration and/or pressure on a composite block assembly including the block body, the covering material placed thereon and an adhesive material disposed therebetween. Additionally, this system includes a finishing mechanism for finishing the pressed composite block assembly into the composite block by passing it through a hole of a size substantially corresponding to the contour of the composite block. The hole is formed through a scraper constructed from a flexible material.