Bilingualism research tradition has disclosed that language processing is basically non-selective and code switching/mixing research tradition has unveiled the significant role of grammatical principles in defining the nature of bilingual speech. This study suggests to merge these two traditions within the formalism of Gradient Symbolic Computation. This permits to formalize the fusion of grammatical principles with gradient mental representations. This framework is applied to code mixing constructions where a component of an intended statement emerges in both languages within a sole statement.