An apparatus (100) for making a biocompatible three- dimensional object (30) comprises at least one delivery unit (110,111,112) arranged to deliver at least one biocompatible fluid substance towards a support body, also called core, (20) having a matrix surface (21), to obtain a coating layer (35) of a predetermined thickness configured for coating the matrix surface (21). Furthermore, a handling unit (130) is provided arranged to provide a relative movement according to at least 3 degrees of freedom between the support body (20) and each delivery unit (110,111,112). The support body (20) is arranged to be coated by the delivered biocompatible fluid substance, in order to obtain a three-dimensional object having an object surface (31) copying the matrix surface (21) of the support body (20).
