His performances in the important music centres of Europe, Latin America and the United States were met with high acclaim by the public and critics alike.
These pedagogical works, his compositions and his transcriptions are edited by Boosey and Hawkes of New York, Chanterelle Verlag of Heidelberg, Barry Editorial of Buenos Aires and Henry Lemoine of Paris.
When traveling abroad, Carlevaro was often invited to teach Master Classes, where in the course of a few consecutive days, students of all levels brought him their inquiries about technique, fingering, expression, or the like.
Some of Carlevaro's "star pupils", winners of several important international contests are Eduardo Fernández, Álvaro Pierri, Baltazar Benítez, Miguel Ángel Girollet, José Fernández Bardesio as well as his teaching assistants Patrick Zeoli, Alfredo Escande (the author of his biography in Spanish: "Abel Carlevaro - Un nuevo mundo en la guitarra" [2]), Bartolomé Díaz and Jad Azkoul, who also translated several of his works.
[4] Eduardo Castañera, María Isabel Siewers, Néstor Ausqui, José Luis Merlin from Argentina, Daniel Wolff from Brazil, Berta Rojas from Paraguay, Janez Gregoric from Austria, Gentaro Takada, from Japan, Ricardo Barceló, from Uruguay, have also been Carlevaro students, as well as many others from South America and many other parts of the world.
From Spain we can name Juan Luis Torres Román, Manuel Gómez Ortigosa and Pompeyo Pérez Díaz, performer and musicologist author of the main academic book about Dionisio Aguado and the 19th century guitar.