All listed records contain exclusively compositions by Luis Di Matteo .
| 1965 | A sugerencia del club | single | ||
| 1971 | Estudio para tres | LP Mallarini | Uruguay | |
| 1975 | Tangos en blue jeans | LP Mallarini | Uruguay | |
| 1976 | Proceso | LP Clave-Iemsa | Uruguay)) | |
| 1979 | Monologando | CC Sondor | Uruguay | |
| 1981 | Rumbo al cenit | LP Orfeo | Uruguay | |
| 1983 | Latitud 55 | LP Orfeo | Uruguay | |
| 1984 | Tango Contemporáneo | band, bass, piano, oboe | LP JARO 4116-1 | Germany |
| 1985 | Le Dernier Tango | band, bass, piano, drums, oboe | LP JARO 4121-1 | Germany |
| 1985 | Los dueños del silencio | sound track | Argentina/ Sweden | |
| 1987 | Tango | CD-compilation of the previous JARO editions | CD JARO 4116-2 | Germany |
| 1988 | Por dentro de mi | bandoneon solos with chamber music character 1 | LP/CD JARO 4137-1/-2 | |
| 1991 | Del nuevo ciclo | with the russian Uljanowsk National Symphony Orquestra | CD JARO 4155-2 | |
| 1995 | Silvana Deluigi / Luis Di Matteo Tangos |
other composers | CD SM 1613-2 | |
| 1997 | Escribo para los Angeles | (with string quartet) | CD JARO 4198-2 | |
| 1998 | Un día de mi vida | CD JARO | Germany | |
| 1998 | La memoria del espejo | sound track for a poems CD | Spain | |
| 1999 | Candombe Uruguayo | JARO Germany | ||
| 2004 | Siempre hay algo nuevo | JARO | Germany | |
| 2004 | Retrospectivo | JARO | Germany | |
| 2004 | Tango y más allá | JARO | Germany | |
| 2004 | Rejunte | Perro Andaluz | Uruguay | |
| 2010 | Iceberg | Perro Andaluz | Uruguay | |
| 2013 | No todo está perdido | Perro Andaluz | Uruguay |
