This paper has been written with the dual aim of demonstrating the need for a systematic inclusion of contextual elements in the analysis of discourse, as well as the advantages of basing such an analysis on a theory of linguistic polyphony. By highlighting the danger of permitting models of context to rely on the social representations of the analyst, the paper calls for and proposes a set of methodic-theoretic principles to serve as a possible basis for future models for contextual reconstruction. These principles are then applied to the analysis of an op-ed by the French Socialist Party figure Laurent Fabius, written with the explicit purpose of obtaining a majority opposed to the European constitutional treaty in the referendum of May 2005. The theoretical tool of the analysis is the Scandinavian Theory of Linguistic Polyphony (the ScaPoLine), which serves to identify the presence of different points of view in one single utterance. The linguistic phenomena under analysis are primarily reported speech and concessive argumentative constructions. Demonstrating how Fabius relates his own points of view to those of others, the analysis aims to give insight into the manner in which he discursively constructs the political debate on the European Constitution.