We are witnessing a growing interest in characterising the teaching competences that should configure the profile of current teachers in all educational stages, including university. Despite the complexity in its conceptualization and heterogeneity of proposals, it is necessary to address this issue due to its importance in teacher training and professional development. To this end, this research aims to analyse, with a documentary and content analysis, the frameworks of teaching competences of university professors in the Spanish context since the beginning of the century, through a review of reviews. On the one hand, we analyse the teaching competences proposed by reference frameworks to establish a synthesis of the main competences to be developed. And on the other hand, we identify the competences established in the teaching competence frameworks, based on the proposed reference competence framework. Although the difficulty in unifying the basic skills of university teaching staff, many similarities have been obtained in the frameworks, being the learning management and psychopedagogical competences the most common among them. Identifying trends in competency frameworks can help university institutions to better understand and use them.