The Internet was designed in the 1970s with limited scope and applications. It has been evolving during the last decades applying specific and ad-hoc solutions around the IP protocol to cover growing needs about security, mobility, interconnection, etc. Recent research has been increasingly focusing on the problem of Future Internet evolution; while one research line argues that a clean-slate approach is necessary to cover all future requirements, others maintain that Internet could continue to evolve adaptively, adopting new technologies as real requirements emerge. Increasing adoption of Cloud Computing paradigms could support the evolutionary approach. Beyond what would be the most valuable theory, security is one of the core issues future technologies must face. This paper gives an overview of Cloud Computing and Future Internet research issues and initiatives, oriented to security aspects. We analyze the common points regarding Trust and Identity Management, as well as identifying guidelines for future research.