Manager Gordon Strachan was thrilled with the acquisition of Santonocito, a member of Inter's Allievi Nazionali squad.
The Celtic boss told his club's official website: "We are delighted to welcome Luca to Celtic Park and we look forward to working with him.
"We had him training with the first team on Monday morning and, although at 16 he is still a young lad, he certainly did not look out of place."