Santa!
The point of giving gifts is not just giving and receiving gifts, it's sharing time with family and friends and practicing the act of sharing.
In Italy, the Crone of Befana (an old woman dressed all in black who rides a broomstick through the air) leaves trinkets for good children and coals for naughty ones. Befana's name is derived from...
The people that started giving out presents in Christmas were the three wise men.
Christmas Eve