Within the field of pragmatics, there has been an ongoing discussion about the language meaning. The thought of scholars from the Gricean, neo-Gricean, and post-Gricean schools disagreed on how to define a common language phenomenon, a kind of pragmatically enriched meaning imparted but not literally and clearly articulated by the utterance. Meanwhile, three cognitive processing models for impliciture have been proposed: the Default Model, the Standardization Model, and the Context-driven Model. The present study provides a detailed review of the researches on the impliciture and pays attention to a possible aspect of further study on impliciture.