Saba was born on 26 October 1958 in Tripoli, Lebanon. His father, Antoine Saba, worked for an oil company. His mother, Delena Saba, was a homemaker. His family was musical, and his older siblings taught him to play the nay. At the outset of the Lebanese Civil War in 1976 he went to Paris to study music at the Conservatoire Municipal des Gobelins in Paris, where he earned his BA in Western Classical Music and Flute Performance, and the Gnessin School in Moscow, where he received a master's degree in Western Flute Performance and Music Education. He then moved to the United States and settled in Northport, New York.