Future Internet builds upon three key pillars – namely, Internet of Things, Internet of Services, and Internet of Contents – and is considered as a worldwide execution environment that interconnects myriad heterogeneous entities over time, supports information dissemination, enables the emergence of promising application domains, and stimulate new business and research opportunities. In this paper we analyse the challenges towards the actualisation of the Future Internet. We argue that the mobile nature inherent to modern communications and interactions requires a radical shift towards new computing paradigms that fully reflect the network-based perspective of the emerging environment. Indeed, we position the adoption of a Pure Edge Computing platform that offers designing and programming abstractions to specify, implement and operate Future Internet applications.