They were "thrilled" to report their son had been out of intensive care at Starship Hospital for a few days and was recovering well.
"He has had lots of surgery so far and there is a long way to go but we're feeling really optimistic that he'll make a full recovery."
"In particular we would like to say thanks to a little girl from Mt Eden called Phoebe, aged 4, who sent our boy a lovely card telling him to get better soon. The card didn't have a return address but we were really touched by it so thank you, Phoebe."
A police investigation into the dog attack has concluded, with no charges laid.
The dog's owners cooperated with local animal control officers and the animal was put down.