The proposal for reform of the data protection legal framework, recently made public by the European Commission (EC), specifically enshrines a 'right to data portability', which is designed to reduce the difficulties for individuals to stay in control of their personal data, along with the provision of a 'right to be forgotten' and a 'right to rectification'. The debates surrounding these privacy concerns, especially related to cloud computing (another ubiquitous concept), have not enjoyed a clear, unitary discourse, as IT developments have almost out-run the rhythm in which legal scholars were analysing recent threats to privacy, and especially internet privacy. This paper aims to reveal the characteristics of data portability as a legal concept in the modern world of privacy and data protection; it focuses on a few aspects of the reform proposed by the Commission, highlighting the detailed provisions of the right to data portability in the larger context of the reform. It also discusses data portability's impact on competition and its links to international data transfers, as they will be regulated in the new EU data protection law.