Orbifold grand unified theories solve several problems in GUT model building. Therefore, it is intriguing to investigate similar constructions in the flavour context. In this talk, I will firstly present how a flavour symmetry might emerge due to an orbifold compactification and be simultaneously broken by boundary conditions on the orbifold. I will demonstrate this construction within an explicit SO(10) x S4 model in 6 dimensions and discuss its phenomenological consequences.