Competence-based education is a widely implemented educational approach, but more research is needed into the relationship between transversal competences and individual disciplines. In this article, we present the results of a study focusing on how the transversal competence of multiliteracy is contextually defined in Finnish local curricula in the disciplines of mathematics and social studies. The article offers new insights into the discussion between content- and competence-based educations by introducing the concept of disciplinary contextualisation. Based on the qualitatively analysed data, four different types of disciplinary contextualisation are presented and further discussed. The study also engages with the discussion in the field of multiliteracy by offering insights into the ways in which multiliteracy is rationalised, defined, and developed in the analysed disciplines. Multiliteracy contextualisations share features, but also differences, between the disciplines, illustrating the importance of taking into account the disciplinary perspective when discussing the development of competences in basic education.