The invention relates to a method for obtaining a surface of a titanium-based metal implant intended to be inserted into bone tissue, comprising: (a) projecting particles of aluminum oxide under pressure on the external area of the implant; (b) chemically treating the sandblasted external area of the implant with an acid composition comprising sulfuric acid and hydrofluoric acid; and (c) thermally treating the sandblasted external area of the implant by heating at a temperature of 200-450° C. for 15-120 min. The invention likewise defines a metal implant having said surface. The surface thus obtained has good micrometer-scale roughness with a suitable morphology, as well as a composition which is virtually free of impurities and a thickness which is approximately three times the thickness of conventional surfaces, which characteristics provide it with very good osseointegration properties.