1959
- Guitarreando
1960
- Blue Samba
- Brasileando
- My Samba
1962
- Jugueteando
1963
- Bossa en Re
1968
- Spring Theme
- Carinosa
- Danza Brasilera
- Zip Code
- Legato Samba
1969
- Jorge’s Theme (dedicated to his son Jorge)
- Pampero
1970
- Prelude to Olga (dedicated to my wife Olga)
- Choro
- Chacarera
- Danza
- Danza Paraguaya
1972
- Prelude
1974
- Canción
1975
- Romance
- Variations on I got Rhythm
- Suite Del Sur (Guitar & Orchestra)
1976
- Sonatina (Allegro-Andante-Allegro)
1978
- Little Rapsody (dedicated to David Russell)
- Canción & Danza
1979
- Fantasía De la Danza
- Berceuse (Guitar & String Quartet)
1980
- Danzas para Emiko 1 & 2
- Romance Criollo
- Danza in E Minor
- Allegro in Re
- Latin Impressions
- Allegretto a 2
- A Rhapsody for Two Brothers (Guitar Duet dedicated to the Assad Brothers)
- Latin Expressions (Guitar & String Quartet & Guitar & Woodwind Quartet)
- Scherzando (dedicated to Evangelos and Liza)
1982
- Preludio & Giga (dedicated to Jorge Cardoso)
- Una Estampa Brasilera
- Rapsodia Del Sur (Guitar & Orchestra)
1985
- Romance Criollo (Guitar & Orchestra)
- Fantasía de la Danza (Guitar & Orchestra)
1986
- Scherzando
1987
- Fantasía de la Danza (for two guitars)
- Latin Images (Orchestra only)
- Millenium Duet (Orchestra only)
- Romanza (Guitar & Orchestra)
1988
- Romántico y Allegro Rítmico (solo guitar dedicated to Virginia Luque)
- Danza Finale (Guitar & String Quartet)
1989
-Barcarole
- Introduction and Dance
- Berceuse (Guitar, electronic keyboards, electric bass and strings)
- Danza Prima (From Suite Del Sur)
- Malambo (From Suite Del Sur)
- Introduction and Dance (dedicated to my daughter Francesca)
1990
- Two to Tango
- Latin Impressions (3rd movement)
- Danza del Sur (dedicated to Sharon Isbin)
- Concierto Rapsódico (Guitar & Orchestra)
- Guitar Concerto (Guitar & Orchestra)
- Concierto Rapsódico (Guitar & Orchestra)
1992
- Romance de Luna & Danza (dedicated to Pepe & Ángel Romero)
- Barcarole (dedicated to Eli & Ann Kassner)
- Aire de Gato (dedicated to Ricardo Iznaola)
- Gato
- Zambeando
- Latin Images No. 1 (dedicated to Krysztof Pelech)
- Latin Images No. 2 (dedicated to my son Jorge)
- Lullaby, Tema y Danza (Guitar & Orchestra)
1993
- Francesca’s Waltz (dedicated to his daughter Francesca)
1995
- Rondó a la Latina (dedicated to Raphaella Smits)
- Fantasía Latina (For Two Guitars & Orchestra)
1997
- Otro Tango Buenos Aires
- A Touch of Blues (dedicated to George Benson)
1999
- Reflexiones Latinas (dedicated to David Starobin)
- Echoes of the Blues (dedicated to Ricardo Iznaola)
- Homage to Latin music
- Little Serenade (dedicated to Liona Boyd)
- Pampero (Guitar & String Quartet)
2000
- Millenium Duet
2001
- Little Suite to Rebeca
2002
- Milonga del viento
- A mi Barrio
- Lullaby & Dance
- A Dance for Muriel (dedicated to Muriel Anderson)
- Mangoré (Una Danza) (dedicated a David Russell)
- Scherzino del Norte
- Campanas
- Waltz for Leona
- Recordando a Barrios (Remembering Barrios)
2003
- Olga (3rd. Movement)
- Staccato Dance
- Al guitarrero
- Brasilian Sunrise
- Canción del Recuerdo
- Recuerdos del Caribe
- Scherzo Latino
- Aire de Malambo
- Little Fantasy
- Rapsodia del Plata (Guitar & Orchestra)
- Aquarelle Latino (Two Guitars & string Quartet)
2004
- Milonga Urbana
- Four Solos (for Young Guitarists)
- Four Duets & Quartets (for Young Guitarists)
- Homage to a Dance
2005
- Suite Rapsódica
- Danza de un Recuerdo (dedicated to Sebastián Dominguez)
- Recuerdos de un viaje
- Danza de Mayo
2007
- Jonathan’s Dance
- Songs & Dances (Guitar String Quartet)
2008
- Images (Guitar & Violín, August)
- Estampas (Double Concerto: Cello, Guitar & Orchestra)
- Images (Double Concerto: Violín - Guitar & Orchestra)
2009
- Campanella Dance
- Latin Serenade for the city of London
- Dialogando (Guitar & Cello)
- New York Latin Rhapsody (Guitar & Orchestra)
- Images (Guitar & Violín)
- Rapsodia Del Sur (Guitar & String Quartet)
2010
- Aires Ibero Latino (Guitar & Orchestra dedicated to Paco De Lucia)
2011
- Lullaby of Love (the only composition written for himself)
2013
- La Danza in La (dedicated to David Russell)
- Celil Prelude and Dance
- Giga Criolla (dedicated to John McCllellan)
- Echoes Del Sur (dedicated to Hilary Field)
2014
- Prelude with Staccato
2015
- Danza del Nino (dedicated to Troy Gifford)
2017
- A Trémolo (dedicated to Pablo Sáinz Villegas)
- For Elina & René (dedicated to Elina & René Izquierdo)
- El Camino (Tribute to Spanish Music)
- Homenaje (Tribute to Spanish Music) (June)
- Tríptico Latino
- Homenajes Argentinos
2018
- Guitar Dúo (September)
- Introduction, Petit Dance and Giga (Solo Guitar, dedicated to Virginia Luque, July)
- Estampas Latinas (Solo Guitar, dedicated to Virginia Luque, October)
2020
- Estampas del Sur (Concerto Guitar & Orchestra to Virginia Luque, May 18th)
- Virginia’s Quintet (Guitar & String Quartet, Quintet dedicated to Virginia Luque, August)
- Recuerdos Argentinos (Commissioned by Virginia Luque, September)
2021
- Rapsodia (Last composition of Maestro Morel for Guitar & Orchestra, dedicated to Virginia Luque, January 30th 2021)
1975
- Suite Del Sur (dedicated to his wife Olga)
1985
- Fantasía de la Danza
- Romance Criollo
1987
- Latin Images (Orchestra only)
1990
- Concierto Rapsódico
- Millenium Duet (Orchestra only)
1992
- Lullaby, Tema y Danza
1995
- Fantasía Latina
2003
- Rapsodia del Plata
2010
- Aires Ibero-Latinos
2017
- Homenajes Argentinos
2020 May 18th
- Estampas Del Sur
2021 January 30th
- Rapsodia
1979
- Berceuse (Guitar & String Quartet)
1980
- Latin Expressions (Guitar & String Quartet)
1999
- Pampero (Guitar & String Quartet)
2003
- Aquarelle Latino (Two Guitars & String Quartet)
2007
- Songs & Dances (Guitar & String Quartet)
- Rapsodia Latina (Guitar, Cello & Flute)
2009
- Images (Guitar & Violin)
- Dialogando (Guitar & Cello)
2016
- Guitar Quartet
2020
- Virginia’s Quintet (Guitar & String Quartet)
2009
- Suite Del Sur
- Rapsodia Del Sur
1960
- Blue Samba
- Brasileando
- My Samba
1968
- Spring Theme
- Cariñosa
- Legato samba
- Zip Code
1969
- Jorge’s Theme
1968
- Danza Brasilera
1979
- Fantasía de la Danza
1980
- A Rhapsody for Two Brothers
- Allegretto a 2
1982
- Una Estampa Brasilera
1986
- Scherzando
1990
- Two to Tango
2000
- Millenium Duet
2005
- Danza de Mayo
2009
- Latin Serenade to the City of London