The presentation concentrates on which language means may be included into the annotation of discourse relations in the Prague Dependency Treebank (PDT) and tries to examine the so called alternative lexicalizations of discourse markers (AltLex’s) in Czech. The analysis proceeds from the annotated data of PDT and tries to draw a comparison between the Czech AltLex’s from PDT and English AltLex’s from PDTB (the Penn Discourse Treebank). The presentation introduces the lexico-syntactic and semantic characterization of the Czech AltLex’s and comments on the current stage of their annotation in PDT.