He dedicated much of his career to chamber music for percussion instruments as founder of the Tetraktis Percussioni quartet from Perugia. The group has been performing nationally and internationally since 1993 and has many CDs to its credit: “Millennium Bug”, “Drama” and “Liaisons Dangereuses” “Piazzarama”, with original songs composed and dedicated to Tetraktis by Italian authors such as Giovanni Sollima, Tonino Battista, Ramberto Ciammarughi and others.
In November 2013, the CD "Invenzioni" was presented by DECCA Records, featuring the soloist Alessandro Carbonare on clarinet and the ensemble Tetraktis Percussioni. In December 2016, a recording was presented for Brillant Classic entitled Ionisation and dedicated to the authors of the twentieth century: È. Varèse, C. Chávez, E. Cowell, L. Harrison, J. Cage, S. Reich. In 2020 the ensemble won the Ministry of Foreign Affairs tender "Vivere all'italiana in musica" (MAECI) with the project "Un rustling along thirty years". By virtue of this, Tetraktis was awarded as the official representative of Italian contemporary music in the world.
In 2022 the group presented some innovative projects with the participation of composers such as Federico Gardella, Riccardo Panfili, Mauro Montalbetti, Gianvincenzo Cresta. The compositions are dedicated to the quartet. Also in 2022, an important collaboration with Sugar Music allowed the creation of a project dedicated to the music of J. S. Bach and entitled Musica Assoluta.
Since 2023, original projects dedicated to sound research produced by trees, water or microcosm have been presented: Arbor Sonus, Aque, Musica Liquida. The ensemble boasts collaborations with Alessandro Carbonare (clarinettist), Alessio Allegrini (horn), Philipp Geist (video artist), Ramberto Ciammarughi (jazz pianist) and is invited by important festivals, Italian and foreign associations: Lingotto Musica, Società del Quartetto di Milano , Teatro Regio di Torino, Rai Radio Tre, Gesellschaft für Kammermusik in Lucerne (CH), Ferrara Musica, Musica Insieme Bologna, Filarmonica Romana, Società del Quartetto di Milano, Ravenna Festival, Ravello Festival, Stresa Festival, A. Scarlatti Concert Association of Naples, IUC, Lucca Classica, Musica Riva Festival, Bologna Classica, Perugia Classical Music Foundation, Macerata Opera Festival, American Universities.
Gianluca Saveri was 1st percussionist of the Mahler Chamber Orchestra directed by Daniel Harding (2002/2006), and is a member of the prestigious Lucerne Festival Orchestra directed until 2013 by Claudio Abbado and currently by Mº R. Chailly. With the same he recorded for Virgin Classic and Deutsche Grammophon, for TV Artè, EuroSat and other international broadcasters, performing in the most prestigious auditoriums.
It was also directed by Lorin Maazel, Mstislav Rostropovich, Georges Prêtre, Giuseppe Sinopoli, Riccardo Muti, Christopher Hogwood, Eliahu Inbal, Rafael Frühbeck de Burgos, Yuri Temirkanov, Antonio Pappano, Pierre Boulez, Gustavo Dudamel, Riccardo Chailly, Y. N. Sèguin. Having qualified in numerous auditions, he has collaborated with the most important Italian symphonic-theatrical organisations: Teatro dell'Opera di Roma, Comunale di Firenze, Accademia Nazionale di Santa Cecilia in Roma, Teatro San Carlo di Napoli, Symphonica Toscanini, National Symphony Orchestra of Rai of Turin.
As a soloist he interprets pieces by contemporary authors such as: Vinko Globokar, Giorgio Battistelli, Iannis Xenakis, C. Cangelosi. He collaborated with the actor Elio Pandolfi for musical theater performances.
He is the author of arrangements and elaborations dedicated to the ensemble of percussion instruments published byprendinota. He performs with the duo “Plunk & Pulse” together with the guitarist Emanuele Segre and in a trio with the saxophonist Federico Mondelci for an original project dedicated to cultured music of popular origin.
A teacher for over twenty years, he includes students who have won competitions in international orchestras. Gianluca Saveri is active in social issues as the inventor and promoter of a church bell ringing entitled "Let's ring the bell towers of Europe to support human rights".
He holds the chair of percussion instruments at the F. Morlacchi Conservatory of Music in Perugia.