The FePd alloy exhibits an L10 (CuAu-I type) chemically ordered phase which can be grown by molecular beam epitaxy at a low temperature (620 K) on Pd(001). The surface of the alloy has been observed by scanning tunnelling microscopy to determine the link between the surface morphology and the underlying chemical order. Steps are commonly observed with a bi-atomic height as a result of the surface processes leading to the chemical ordering. Mono-atomic steps are also observed and there is some evidence that they are linked to the antiphase boundaries between ordered domains within the growing layer.