In 1989, Peçi composed the song "Toka E Diellit", which won the Albanian music contest, Festivali i Këngës.
Aleksandër Peçi has participated in the Venice Biennale, the Manchester International Festival, and ISCM World Music Days.
His music has been premiered and performed in Carnegie Hall (New York), Steinway Piano Gallery, EuroPianos (Naples, Florida), University of Miami, and Prague Conservatory.
Peçi's piano composition "Muzikë Kabaistike", received its world premiere by Redi Llupa at the Kaleidoscope MusArt Concert Series in Miami, Florida, in February 2016.
In 2003, he won the Silver Remi Award at the Houston, Texas, World Fest for the music of Women without wings (produced by Cinestudio).