This research seeks to unravel the impact of the word 'baba ' in the fantastic manifestation of some parts of Julio Cortazar’s short stories. Initially, under the headland ‘From the glass and sticky dough’, various texts of Cortazar are explored in which the elements that characterize the notion of ‘fantastic’ are present. This investigation helps to establish part of the author’s poetic in relation to the story and the way it takes fantastic. The second chapter , entitled ‘the fantastic , looking for the rule’, a critical review of work in relation to theorists who have explored the theme of fantasy is set : Callois , Todorov , Bessiere and Jackson; this work is carried out to establish the scope and limits of the tenets of these authors in relation to the texts of Cortazar . Based on the above conceptual foundations , the third chapter , ‘The baba as a limit : the warning and rejection’, analyzes different tales of Cortazar, from Bestiario (1951), Final de juego (1956) and Las armas secretas (1959). In this final section, the contribution of this research is observed as it explores the notion of ‘baba’ and semantic field covered to elucidate how this notion can be glimpsed in the limit with the fantastic in Cortazar.