This paper addresses the interaction between European Union policies and national higher education sectors in the countries involved in the TRUE project (England, France, Germany, Italy, The Netherlands, Norway, Portugal and Switzerland) making the case for European governance. Relevant for this matter is the role of political processes that evolve at European level shaping political discourses and practices, thus creating a common grammar for European higher education governance. By empirically focusing on evaluation and funding policies the paper argues that European governance reflects in how this common grammar is being created and reconfiguring the environment within which European higher education systems and institutions are developing.