The FF4EuroHPC proposal addresses the need for outreach to, and support of, Europe’s Small and Medium-sized Enterprises (SMEs) in order that they can profit from the innovation advantages offered by advanced High Performance Computing (HPC) technologies and services. FF4EuroHPC takes core team members from the highly successful Fortissimo and Fortissimo-2 projects (hereinafter simply Fortissimo projects) which executed 92 business experiments. They will use the lessons learned and best practices developed in those projects to create a portfolio of business-oriented “application experiments” that allow agile SMEs to investigate and solve business challenges and develop innovative business opportunities. The application experiment framework ensures that they receive the necessary, appropriate support to enter into the HPC ecosystem. FF4EuroHPC will lower the barriers for the participating SMEs to commence HPC-related innovation in their existing or newly identified markets either by using HPC systems for their business needs or by providing new HPC-based services. The outcome will be improved design and development processes, better products and services, and improved competitiveness in the global marketplace. Fundamentally, FF4EuroHPC is focussed on the creation of economic growth and jobs for the European Union.