He was a cousin of Francesco Cossiga (who was a leader of the Italian Christian Democrats and later became a President of the Italian Republic) and both were relatives of Antonio Segni, another Christian Democrat leader and President of the Republic.
كان ابن عم فرانشيسكو كوسيغا (الذي كان زعيم الحزب الديمقراطي الإيطالي ليصبح لاحقا رئيس الجمهورية الإيطالية), وكلاهما أقارب لأنطونيو سينيي, زعيم آخر للحزب الديمقراطي.