Abstract: A grinding assembly is described, for a grinding head for a grinding machine of glass slabs, comprising: a first (and possibly a second) grinding wheel adapted to tangentially work on the glass edge and whose rotation axis A is parallel to the glass edge to be ground; and a handling system for the grinding wheel for adjusting the removal of glass in an oscillating way or in parallel with the plane of the slab to be ground. A grinding head equipped with the above grinding assembly is further described.