Convergence-based research approaches are critical in solving many scientific challenges, which frequently draw on large teams of collaborators from multiple disciplines. The 2014 report Convergence: Facilitating Transdisciplinary Integration of Life Sciences, Physical Sciences, Engineering, and Beyond describes the term "convergence" as a multidisciplinary approach that melds divergent areas of expertise to form conclusions that are inaccessible otherwise. However, a convergence-based approach involves hybrid systems of people, buildings, and instruments, which pose complex structural and managerial challenges. In October 23-24, 2018, the National Academies of Sciences, Engineering, and Medicine convened a workshop to explore efforts to promote cultures that support convergence-based approaches to research. The 2014 report served as a foundation for this workshop, allowing participants to further explore convergence as a valuable and adaptable approach to organizing research. This publication summarizes the presentations and discussions from the workshop.