After occupying the positions of procurator of the Jesuits at Rome and censor (calificador) of the Spanish Inquisition at Madrid, Acuña returned to South America, where he died, probably soon after 1675.
Logo de ser procurador dos xesuítas en Roma e censor ("calificador") da Inquisición española en Madrid, Acuña volveu a Sudamérica, onde finou, seguramente pouco despois de 1675.