Born at Castiglione di Sicilia in the Province of Catania, Sicily, Alibrandi was ordained priest on 1 November 1936, and obtained a Doctorate on Divinity from the Pontifical Lateran University and a Doctorate on Civil and Canon Law.
Born at Castiglione di Sicilia in the Province of Catania, Sicily, Alibrandi was ordained priest on 1 November 1936, and consecrated titular Archbishop of Binda in 1961 by Fernando Cardinal Cento. He obtained a Doctorate on Divinity from the Pontifical Lateran University and a Doctorate on Civil and Canon Law.