The European Universities Initiative (EUI) was established in 2017. Its aim is to strengthen strategic partnerships between higher education institutions across the EU by building networks of universities. At the end of 2023, there were already 50 European University Alliances gathering 430 higher education (HE) institutions. In each of these Alliances, academic libraries are members, too. These libraries are already involved in intra-alliance projects, and these alliances will probably happen more often due to the EU's project-driven approach. This practice paper is, to the authors' knowledge, the first attempt to describe another challenge that European academic libraries currently face i.e., project management practice. The alliance partner universities operate under distinct national laws and institutional practices, making it challenging to easily align them for effective cross-university collaborations. Familiarity with the theoretical principles of EU project management and project management methodology greatly facilitates the preparation of the proposal and the work of the project. It also allows more effective management of the project as a whole or its individual parts. This paper maps the challenges that work in international projects brings and provides suggestions on how EUI libraries can utilize project management techniques, while also aiming at showing the paths to facilitate cooperation. Drawing from an analysis of the literature on project management that might apply in library-led projects to strengthen communities of purpose, the paper is based on the example of the work experience on the project TRAIN4EU, that was co-led by the academic librarians from the University of Warsaw Library, Poland, and run by 4EU + universities. The paper concludes with a set of recommendations based on TRAIN4EU practices, lessons learned, as well as pitfalls to avoid. [ABSTRACT FROM AUTHOR]