A grinding attachment for highways and similar surfaces is disclosed for grinding operations closer to adjacent obstacles than is possible with existing equipment using a straddle-type centrally mounted grinding drum. The grinding attachment assembly comprises at one end a stub axle, which engages the grinding drum via a head extension. The stub axle is attached to a shroud which is in turn supported by a mounting assembly, which in operation attaches to a vehicle or machine able to drive the grinding attachment. The grinding drum can thereby operate proximal obstacles adjacent a grinding surface by virtue of arrangement of the stub axle, shroud and mounting assembly.