He's going to have another skin graft in two weeks' time.
Ali was "smiling and talking" later on Sunday, after the operation, one doctor said.
Ali's family were all killed in a bomb raid in Baghdad. Both his arms had to be amputated, but he's been promised state-of-the-art false limbs.
Ali may also have a teacher come to visit him in the al-Babtain burns centre, because he will have to stay in hospital for a long time to recover from all his operations.