The increasing severity and frequency of extreme weather and climate events (e.g., floods, heat and cold waves, storms, forest fires) resulting from climate change-compounded vulnerabilities and exposure require a specific research focus. Climate-related extreme events are part of disaster risk reduction policies ruled at international, EU, and national levels, covering various sectors and features such as awareness-raising, prevention, mitigation, preparedness, monitoring and detection, response, and recovery. A wide range of research and technological developments, as well as capacity-building and training projects, has supported the development and implementation of these policies and strategies. In particular, research and innovation actions support the paradigm shift from managing “disasters” to managing “risks” and enhancing resilience needs. In this respect, a huge body of knowledge and technology has been developed in the EU-funded Seventh Framework Programme (2007–2013) and Horizon 2020 (2014–2020), for example in the area of measures and technologies needed to enhance the response capacity to extreme weather and climate events affecting the security of people and assets. In addition, networking initiatives have been developed to connect scientists, policy-makers, practitioners, and industry and civil society representatives in order to boost research uptake, identify gaps, and elaborate research programs at EU level. Research and networking efforts are pursued within the newly starting framework program Horizon Europe (2021–2027), with a focus on supporting civil protection operations. This paper provides a general overview of relevant EU policies and examples of past and developing research in the area of weather and climate extreme events and highlights current networking efforts in this area.