So far, the use of diamond as an abrasive medium for grinding has been restricted to materials of hardness higher than half that of SiC, the generally employed abrasive. When SiC is used as an abrasive, it is in the form of grains fixed to a paper backing but SiC grinding paper wears out after a few operations and has to be thrown away. If the same technique were to be applied with diamond as the abrasive agent, the grinding would be very costly in terms of diamonds wasted, which is the reason for its limited application. This paper discusses the use of a backing with the same properties as the conventional paper backing, but which will last for thousands of specimens, thus making the use of diamond for grinding relevant also from an economical point of view. In addition, it provides better planeness and edge retention and simplifies the operation.