Gallivan worked in the 1970s with saxophonist Charles Austin and three years with Larry Young in their band Love Cry Want. ("Love Cry Want" is also the title of the group's 1972 recording that was released in 1997 by Gallivan's label Newjazz). Gallivan moved to Europe in 1976. In London he was considered a replacement for Robert Wyatt in the band Soft Machine but did not end up joining the group, instead collaborating with its former members Elton Dean and Hugh Hopper. They formed a quartet with Keith Tippett for the 1976–77 albums Cruel but Fair and Mercy Dash. While living in Frankfurt in the 1980s, Gallivan worked with Albert Mangelsdorff, Heinz Sauer, and Christoph Lauer.
In 1989 Gallivan returned to the U.S., living in Hawaii. In London he recorded the album Innocence with Elton Dean and Evan Parker. He performed at Ronnie Scott's Club in London with Brian Cuomo on piano and Jackie Ryan on vocals. In 1998, Gallivan recorded Electric/Electronic/Electric in the trio Powerfield with keyboardist Pat Thomas and guitarist Gary Smith and Gallivan/Smith with Gary Smith. During the same year he recorded Des del silenci in Barcelona with the Ektal Ensemble, including trumpeter Benet Palet, percussionist Marti Perramon, and Gnawan quartet Nas Marrakech featuring vocalist Abdel-Jahlil Koddsi. In 2000 he performed at the Bell Atlantic Jazz Festival in New York City in his band the Rainforest Initiative with Dean, Parker, Charles Austin, John McMinn, Marcio Mattos, Lei'ohu Ryder, and Mahalani Po'epo'e. This performance was recorded and broadcast on the Black Entertainment Network.
He recorded the live album Vienna with bassist Paul Rogers and Indian violinist Anupriya Deotale and LA with Benn Clatworthy. In 2011 Gallivan was the sole surviving member of the 1970s band Love Cry Want. He recorded a new Love Cry Want album with guitarist Tom McNalley and bassist Michelle Webb.
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Modern Jazz Orchestra featuring Kenny Drew, Joe Gallivan, Don Vincent (Addess) (re-issued on CD in 2001 by V.S.O.P. Records)
At Last (Man Made) Charles Austin, Joe Gallivan (released as CD in 2000)
Mindscapes (Spitball) Charles Austin, Joe Gallivan (released as CD in 2000)
Expressions to the Winds (Spitball) Charles Austin, Joe Gallivan (also CD in 2000)
Cruel But Fair (Compendium) with Hugh Hopper, Elton Dean, Keith Tippet, Joe Gallivan (reissued on CD by One Way)
Peace on Earth (Compendium) with Charles Austin, Joe Gallivan, John McMinn, Carmen Lundy, David Deluca, Al Richardson, Marvis Martin, London
Intercontinental Express with Joe Gallivan, Charles Austin, Kenny Wheeler, Nick Evans, Jeff Green, Elton Dean, Ronnie Scott, Ian Hamer, Roy Babbington, Toni Cook, Stephen Wick.
The Cheque Is in the Mail (Ogun) Kenny Wheeler, Elton Dean, Joe Gallivan
Home from Home (Ogun) Charles Austin, Roy Babbington, Joe Gallivan
Mercy Dash (Atmospheres) Hugh Hopper, Elton Dean, Keith Tippet, Joe Gallivan (reissued on CD by Culture Press)
There Comes a Time (RCA) Gil Evans and his Orchestra
And Around (Colin) Jean Schwarz, Charles Austin, Joe Gallivan
Surroundings (Celia) Jean Schwarz, Charles Austin, Joe Gallivan
Miami (Atmosphere) Charles Austin, Joe Gallivan
The New Orchestra (Hannibal) Charles Austin, Joe Gallivan, Ryo Kawasaki, Clive Stevens, Peter Ponzol, George Bishop, Gene Golden, Sabu Morales, Wendell Hayes, Tadashi Yasunaga
Voices (Hannibal) Joe Gallivan, Charles Austin, John McMinn, Earl Lloyd
Supply and Demand (Rykodisc) Dagmar Krause, Richard Thompson, John Harle, Danny Thompson, Joe Gallivan
Mysterious Planet (Hannibal) Charles Austin, Joe Gallivan, John McMinn, Nelson Padron, Earl Lloyd
Prism (Vinyl) Peter Ponzol, Abbey Rader, Joe Gallivan
Innocence (Cadence) Joe Gallivan with Guy Barker, Elton Dean, Claude Deppa, Jim Dvorak, Marcio Mattos, Neil Metcalf, Evan Parker, Gerard Presencer, Paul Rutherford, Ashley Slater
Night Vision (Newjazz.com) Brian Cuomo, Joe Gallivan
The Origin of Man (Newjazz.com) Elton Dean, Brian Cuomo, Joe Gallivan
Surrender (newjazz.com) Jackie Ryan, Brian Cuomo, Joe Gallivan
Love Cry Want (newjazz.com) Larry Young, Joe Gallivan, Nicholas
Orchestral Meditations (newjazz.com) Charles Austin, Joe Gallivan, John McMinn
Timeless (newjazz.com) Charles Austin, Joe Gallivan, John McMinn, Gene Argel, Brian Cuomo, Hector Serrano
Guitars on Mars (Virgin) Larry Young, Nicholas, Joe Gallivan
Wiretapper (November 1998), Powerfield (Joe Gallivan, Gary Smith, Pat Thomas)
Des del silenci (Afro-Blue) Ektal Ensemble
Electronic/Electric/Electronic (Paratactile) Powerfield (Joe Gallivan, Gary Smith, Pat Thomas)
Joe Gallivan/Gary Smith (Paratactile) Joe Gallivan, Gary Smith
Live at Ronnie Scott's (Ronnie Scott's) Joe Gallivan, Jackie Ryan, Brian Cuomo
Powerfield (2006) Powerfield (Joe Gallivan, Gary Smith, Pat Thomas)
Vienna (2007) Rainforest Initiative (Joe Gallivan, Paul Rogers, Anupriya)
LA (2010) Joe Gallivan, Benn Clatworthy
Neon Lighthouse 84 (2010) Joe Gallivan, Tony Moore (aka P.Y. Caplin)
Love Cry Want - Lizard Below (2011) Joe Gallivan, Tom McNalley, Michelle Webb
Europe (2014) Joe Gallivan with Charles Austin, Elton Dean, Pat Thomas, Gary Smith, Jim Dvorak, Claude Deppa, Guy Barker
New Morning for the World (2021) Joe Gallivan, Brian Cuomo, John Zangrando
Radio broadcasts
1977 Chateau Vallon Festival in Toulon, France: Intercontinental Express Big Band
1977 Danish Radio: Live at Club Montmartre
1977 Radio Bremen: Live at Stadt Theatre in Bremen
1977 Radio France: Recorded broadcast with Charles Austin
1977 Radio France: Two sessions with Elton Dean, Keith Tippett, and Hugh Hopper
1978 Espace Cardin: Live broadcast with Charles Austin and big band from Paris
1980 Radio France: two broadcasts with French composer Jean Schwarz and Charles Austin
1981 France Musique: Live broadcast
1982 France Musique: Live broadcast with Peter Ponzol
1983 Hessischer Rundfunk Jazz Ensemble broadcast
1985 BBC Radio 3: with Elton Dean
1985 Hessischer Rundfunk Jazz Ensemble broadcast
1986 BBC Radio 3: Soldiers of the Road Big Band
1986 BBC Radio 3: with John Corbett
1986 Hessischer Rundfunk Jazz Ensemble broadcast with John Schroeder
1987 BBC Radio 3: duo with Evan Parker
1987 France Musique with Nicholas
1987 Public TV, Miami, Florida: One hour show with Charles Austin
1992 BBC Radio 1: Quartet with Paul Rutherford, Jim Dvorak, Marcio Mattos
1992 BBC Radio 1: Soldiers of the Road Big Band at the London Jazz Festival
2000 BBC Radio 3: Powerfield (Joe Gallivan, Gary Smith, Pat Thomas)
2000 Black Entertainment Network broadcasts the Rainforest Initiative
2001 ORF radio (Vienna): Ektal Ensemble at Festival Schnittpunkte
2003 ORF television (Vienna): Joe Gallivan and DJ Orgasmus
2004 Orange Internet Radio (Austria): Rainforest 21
Kennedy, Gary (2002). "Gallivan, Joe". In Barry Kernfeld (ed.). The New Grove Dictionary of Jazz, Vol. 2 (2nded.). New York: Grove's Dictionaries. p.7. ISBN1561592846.
