This paper focuses on the newly emerging claims of representation, their justifications, and frames. It combines Saward’s theoretical approach, with discourse and frame analysis. By discursively deconstructing claims it seeks to identify variation of justifications and frames used by different actors (elected, delegated, and self-appointed representatives), in different arenas (state institutions, media). This approach is tested by examining the ongoing discussion on LGBTQ rights (2005-2016) and the refugee crisis (2015-2016) in the Czech Republic. Comparison of claims within the two selected cases will allow the author to test the extent to which the left-right and TAN-GAL distinctions are relevant for the analysis of party politics and the public discourse in the Czech Republic. The similarities between claims and frames applied by elected representatives on these issues hint to the growing irrelevance of the left-right continuum, and the need to introduce alternative approaches to the analysis of CEE politics.