The ability to construct 2D systems, beyond materials natural formation, enriches the search and control capability of new phenomena. For instance, the synthesis of topological lattices of vacancies on metal surfaces through scanning tunneling microscopy. In the present study we demonstrate that metal atoms encaged in silicate adlayer on silicon carbide is an interesting platform for lattices design, providing a ground to experimentally construct tight-binding models on an insulating substrate. Based on the density functional theory, we have characterized the energetic and the electronic properties of 2D metal lattices embedded in the silica adlayer. We show that the characteristic band structures of those lattices are ruled by surface states induced by the metal-s orbitals coupled by the host-pxy states; giving rise to spxy Dirac bands neatly lying within the energy gap of the semiconductor substrate.In recent years two-dimensional (2D) materials have emerged with prominent phenomena and applications. For instance, graphene, the first observed 2D material, presents relativistic quasiparticles described by the massless Dirac equation [1]; meanwhile many other materials have been theoretically predicted [2, 3] and experimentally synthesized [4]. Within these, new quasiparticles [5][6][7][8], and topological/semimetal phases [9][10][11] have attracted great interest in fundamental physics. Focusing in technological applications, quantum Hall effects (spin [12,13], anomalous [14,15] and valley [16]) and thermoelectric properties, to cite a few, are explored for devices engineering based on 2D systems [17][18][19][20][21].The ability to construct lattices on demand promotes the exploration/enhancement of the materials properties. Currently, we are facing a striking synergy between theoretical exploration and experimental lattices designs. For instance, artificial graphene has been constructed in quantum dots systems [22] and in 2D electron gas [23] allowing the control of the Dirac quasiparticles and topological phases [24]. Beyond these systems, within the organic chemistry, covalent organic frameworks and metal organic frameworks have been successfully synthesized by combining different molecules/metal centers [25][26][27].Further control over lattice formation has been exploited through scanning tunneling microscopy (STM) techniques "printing" atom-by-atom on solid surfaces, where the STM tip brings precise control over the lattice formation [28][29][30][31]. For instance, topological states have been engineered on atomic square lattice in chlorine covered Cu(100) surface by vacancy formation [32]. Changing the substrate surface to Cu(111) lieb lattice [33], graphene-like [34] and quasicristals [35] have been imprinted in a carbon monoxide cover layer, while fractal geometric lattices have been achieved in Co covered Cu(111) [36]. Those studies took advantage of the current state of the art on the control over the atomic and molecular adsorption/desorption processes on metal surfaces. However, it is worth pointing...