Abstract: One or more embodiments relate to a production method of multilayer pieces comprising holes having inclined axes and the pieces being resistant to high temperatures and having a bond sub-layer and a thermal barrier coating layer (TBC) comprising depositing the bond sub-layer on the substrate of the piece, depositing the TBC layer, depositing by plasma spraying of a variable or defined composition gradient layer between the TBC layer and the bond sub-layer after the depositing step of the bond sub-layer and drilling the holes via laser beam. A method for repairing a defective piece via the method is described.