A workshop on Rossby waves, heat waves, and compound extreme events was co-organized by the Institute for Atmospheric Sciences and Climate (ISAC) of the National Research Council of Italy (CNR) and the University of Trento, Italy. The workshop gathered experts from different fields, such as extreme events analysis, atmospheric dynamics, climate modeling, and numerical weather prediction, with the aim to discuss state-of-the-art research, open challenges, and stimulate networking across different communities.