[1] Grcevic was born in Turtle Creek, Pennsylvania to a family of Croatian emigrants from Ozalj, Karlovac and Podravina.
[2] At the age of 21, he traveled to Croatia and Vojvodina, where he studied with Janika Balaž in Novi Sad.
As a player of multiple tamburica instruments (bisernica, brač, bugarija, berda and čelo), he usually plays and records whole albums on his own.
[2][4] At the end of the 1980s he started a collaboration with Miroslav Škoro, which produced his first album Ne Dirajte Mi Ravnicu.
He is co-author and arranger of Škoro's hits Moja Juliška and Ne Dirajte Mi Ravnicu.