International e-Infrastructures offer a wide variety of Information and Communications Technology (ICT) services that federate computing, storage, networking and other hardware in order to create an 'innovative toolset' for multidisciplinary research and engineering. UNICORE services are known to be secure, reliable, and fast providing researchers all over the world with powerful software that enables the use of those e-Infrastructures as a 'commodity tool' in daily geographically distributed activities. As key technology provider of the European Grid Infrastructure (EGI), UNICORE is available as part of the Unified Middleware Distribution (UMD) serving the needs of researchers that require mainly High Throughput Computing (HTC). On the other end of the scale, UNICORE offers specifically optimized resources within the Partnership for Advanced Computing in Europe (PRACE) today. Beyond Europe, UNICORE installations are emerging more and more such as within the Extreme Science and Engineering Discovery Environment (XSEDE) US multi-disciplinary e-Infrastructure (aka Cyberinfrastructure) offering both HTC and HPC resources. The grand challenges in science, engineering, and in society that need to be solved towards 2020 and beyond will increasingly require both geographical and intellectual collaboration across multiple disciplines. International e-Infrastructures are considered to be one key toolset to tackle those grand challenges and this contribution will outline several options how UNICORE can remain one 'technology of choice' towards 2020. A strategic roadmap is presented that illustrates the role of UNICORE alongside the European Commission's (EC) vision for Europe in 2020, including the opportunities that arise for UNICORE in the context of the Digital Agenda for Europe. The roadmap also includes how UNICORE can play a role to tackle, or perhaps rather contribute with processing to the avoidance of 'big data waves' arising from a wide variety of e-Infrastructure users emerging from the European Strategy Forum on Research Infrastructures (ESFRIs).