A wheat variety designated XW03R, the plants and seeds of wheat variety XW03R, methods for producing a wheat plant produced by crossing the variety XW03R with another wheat plant, and hybrid wheat seeds and plants produced by crossing the variety XW03R with another wheat line or plant, and the creation of variants by mutagenesis or transformation of variety XW03R. This invention also relates to methods for producing other wheat varieties or breeding lines derived from wheat variety XW03R and to wheat varieties or breeding lines produced by those methods.