A slab of stone or stone-like agglomerate material comprising at least one surface with decorations and/or chromatic effects formed with a dispersed ink containing pigments, made by means of at least one step involving machining at least one surface by means of sizing and/or smoothing and/or polishing, a step of applying the dispersed ink onto said at least one machined surface, a step of drying said dispersed ink, a step of penetration, by means of diffusion, of the pigments of the dispersed ink into the slab by means of change of state of the pigments, a step of cooling the slab, a step of removing the excess or residual dispersed ink from the at least one surface of the slab and a step of applying a layer of functional compound on the at least one surface of the slab.