We foresee an increasing need for integrated software ecosystems which combine current “island” solutions and bridge the gaps between them. These ecosystems must facilitate the full life cycle of Computing Continuum (CC) use cases, including initial modelling, programming, deployment, execution, optimization, as well as monitoring and control. It will be important to ensure adequate reproducibility of workflow results and to find ways for creating and managing trust when sharing systems, software and data. All of these will in turn require novel or improved hardware capabilities. This white paper provides an initial discussion of the gaps. Our objective is to accelerate progress in both hardware and software infrastructures to build CC use cases, with the ultimate goals of accelerating scientific discovery, improving timeliness, quality and sustainability of engineering artifacts, and supporting decisions in complex and potentially urgent situations.