In this paper we investigate how the model of deliberation proposed by Isabela and Norman Fairclough can be used for a better clarification and understanding of the framing processes in media -especially in opinion articles. We thus aim at integrating theoretical contributions from critical discourse analysis and argumentation theory with standard approaches to framing, originating in media studies. We emphasize how a rhetorical approach to framing can provide analytical insights into framing processes and complement the typical quantitative approaches with qualitative analysis based on textual reconstruction. Starting from an issue-specific approach to framing, we discuss a particular case of framing of intra-EU migration, analyzing four opinion articles selected from a larger corpus of Romanian, British and French media. We highlight, along our analysis, various methodological options and analytical difficulties inherent to such an approach.