The article aims to discuss the state of research on the history of two compound verbal tenses of the subjunctive mood: antepresente and antefuturo in Latin American Spanish. According to our analysis presented in the text, both forms have so far been superficially investigated from a diachronic perspective, which is caused, to some extent, by their rare usage and by their replacement with other verbal forms. However, in our opinion, a series of historical studies of these tenses should be carried out so that we could understand better the processes which take place in the subjunctive mood in contemporary varieties of Latin American Spanish.