This chapter advances a systems approach to transferable skills in engineering education, using Aalborg University’s project-organised problem-based learning (PBL) model as a central case. It highlights key competencies — complex problem solving, project management, leadership, collaboration, co-creation, interdisciplinarity, and professional identity, and professional agency — as essential for addressing contemporary challenges. Drawing on three decades of research, the chapter shows how these skills can be cultivated through authentic problems, project work, and teamwork. Each competency is defined, grounded in theory and empirical evidence, and illustrated with examples from practice, along with typical challenges and practical guidance for educators. Together, the chapter argues that PBL supports progressive, authentic, and reflective competency development. It concludes with research-informed recommendations for embedding transferable skills in engineering programmes, emphasising constructive alignment, scaffolding, interdisciplinarity, psychological safety, and real-world engagement to prepare adaptable, collaborative, and agentic engineers.