She has won numerous awards around the world and her books have been translated into more than forty languages and adapted for film.

[5] In 2002, Schweblin published her first book El núcleo del Disturbio (The Nucleus of Disturbances), which won an award from Argentina's National Endowment for the Arts.

In 2008, she won the Casa de las Americas award for her short-story collection Mouthful of Birds.

Her first novel Distancia de Rescate, literally “Rescue distance”, but translated into English as Fever Dream, won the 2015 Tigre Juan Award[6] and the 2017 Shirley Jackson Award for Best Novella,[7] and was shortlisted for the 2017 Man Booker International Prize.

[11][better source needed] In the winter semester of 2020/2021, she held the Samuel Fischer guest professorship for literature in the Peter Szondi-Institut für Allgemeine und Vergleichende Literaturwissenschaft at the Free University of Berlin.