The aim of this paper is to discuss the repercussions of a conceptual orientation on two crucial parts of the Role and Reference Grammar (RRG) linking algorithm, that is, semantic representation and constructional schemas. Firstly, it is argued that adopting FunGramKB’s notion of conceptual logical structure (CLS) over standard RRG logical structures (LSs) has numerous advantages since meaning has now access to conceptual knowledge and therefore a CLS provides a format that goes beyond those aspects that are syntactically visible. The second part introduces the notion of the grammaticon, the component where constructional schemas actually reside. RRG constructional schemas are analyzed within a conceptual framework like that provided in FunGramKB. In essence, it is shown that a conceptual orientation to the RRG linking system by the addition of CLSs enriches the semantic representations in it substantially