Since 2018, two separate initiatives have emerged at TU Wien with the shared goal of fostering the emergence of FAIR data-sharing practices among, respectively doctoral candidates and Master students. Firstly, the university created the Center for Research Data Management, which advises and provides training to all researchers and support staff working at the institution. Secondly, the development of a Data Science curriculum which includes the ���Data Stewardship��� course has been promoting the uptake of RDM and FAIR data-related skills and competences among students at the Master level. This good practice is part of a collection presented in the report "Good Practices in FAIR Competence Education", which aims to provides universities with points of inspiration and practical examples of how fellow institutions and organisations in the higher education sector addressed the need for more RDM and FAIR data-related skills to be taught at the bachelor, master and doctoral levels. The report was developed in the framework of the Fostering FAIR Data Practices in Europe (FAIRsFAIR) project.