An apparatus for making a biocompatible three-dimensional object including at least one delivery unit arranged to deliver at least one biocompatible fluid substance towards a support body having a matrix surface to obtain a coating layer of a predetermined thickness configured for coating the matrix surface. Furthermore, a handling unit is provided arranged to provide a relative movement according to at least 3 degrees of freedom between the support body and each delivery unit. The support body is arranged to be coated by the delivered biocompatible fluid substance, in order to obtain a three-dimensional object having an object surface copying the matrix surface of the support body.