This paper presents a reflection on the current approaches to discourse, framed within the context of the linguistic turn and the reflexive turn. Both turns are viewed as conditions of possibility for this field of knowledge, and their implications are examined. Among these implications, the paper focused on the emergence of a new and three-dimensional concept of discourse, which is shared by current trends in DA, in particular, by ethnometodological Conversation Analysis, Discursive Social Psychology, and Critical Discourse Analysis. For all these trends, this complex view on discourse always encompasses the conceptualisation of discourse as a social practice. However, some differences can be detected among these trends, and they are related to: i) the context they consider relevant for the analysis; iii) the kind of relations they claim between the discursive practices and other social practices, and; iii) finally, the role they attribute to discourse in the production of knowledge, and iv) in the exercise of power. Finally, this paper focus on how, as a consequence of the reflexive turn, and specifically in critical discourse analyses, the view of discourse as social practice has led to a redefinition of the analytical task, deliberately making the analysis itself into a social practice, which aims to intervene at least in the production, circulation, and reception of discourse.