The present invention describes a decorative surface covering comprising a plurality of component layers, structural and/or chemical, chemically bonded to the surface, together forming a unique single unit, monolithic decorative surface overlay, referred to generally herein as a functionally bonded system. The functionally bonded system is designed to be flexible, expandable, and functional, providing the same durability as pre-existing flooring or horizontal surfaces. While the individual components have various properties, the chemical bonding of one layer to an adjacent layer above and/or below provides for a unique surface covering that is decorative and functional. The functionally bonded system can be installed, retrofitted and bonded to a raw concrete floor foundation, countertops and other horizontal surfaces or to such surfaces having an existing ceramic tile, porcelain tile, concrete, VCT (Vinyl), asbestos (VAT) composite tile, hardwood floor, laminate or engineered wood floor, other synthetic or natural materials, or glass or architectural glass.