Daína Chaviano is the most accomplished author of science fiction during the 1980s and 1990s in Cuba. This essay demonstrate that her seemingly soft and new-wavish literary style was in fact a political statement against the communist regime´s policy of closing the borders to the outside world, and a call to put an end to all sorts of frontiers among people, and even between literary genres. But far from being unique and radical in her forms, Chaviano is part of a trend in science fiction that affected both contemporary Cuban authors of the fantastic (Alberto Serret, Chely Lima, Gina Picart, Félix Lizárraga), and other authors in Latin America and Spain (Angélica Gorodischer, Silvina Ocampo, Bioy Casares, Eliá Barceló). Chaviano mixed space travel and exploration with fantastic figures such as dragons and unicorns, science with magic, and created characters who were not necessarily technologically savvy. A perfect example is her most relevant text, the internationally acclaimed 1998 novel and the main focus of this essay, Fábulas de una abuela extraterrestre [Fables of an extraterrestrial grandmother], in which the grandmother states that “la ciencia es una magia que ha encontrado respuestas” [science is magic that has found answers]. Daína Chaviano is perhaps the most relevant representative of the “Caribbean new wave style” and one of the most important authors in contemporary letters written in Spanish.