The teaching-learning process, both in general and in the specialty of Music Education, has evolved and its explanatory models have become increasingly complex. In view of current challenges, it is relevant to analyse the elements that are considered necessary to train music teachers to become competent professionals. This study identifies characteristics found in specialised Spanish and international scientific literature on teaching-learning processes in music teacher education, referring to their current state as well as to desirable developments and future prospects. Although a certain overlap among emergent categories in Spain and those in other countries can be observed, we also found differences of degree, as well as interesting divergences.