A process for the hetero-integration of a semiconductor material of interest on a silicon substrate, includes a step of structuring the substrate which comprises a step of producing a growth mask on the surface of the silicon substrate, the growth mask comprising a plurality of masking patterns, two masking patterns being separated by a trench wherein the silicon substrate is exposed; a step of forming a two-dimensional buffer layer made of a 2D material, the buffer layer being free of side bonds on its free surface and being formed selectively on at least one silicon plane of [111] orientation in at least one trench, the step of forming a buffer layer being performed after the structuring step; a step of forming at least one layer of a semiconductor material of interest on the buffer layer. The semiconductor material of interest is preferably a IV-IV, III-V, II-VI semiconductor material and/or a 2D semiconductor material.