Healtheries Kidscare Rice Wheels Multipack products are being recalled after glass was found in a small number of packs in Australia.
Healtheries Kidscare Rice Wheels cheese, sour cream & chives and burger flavoured products are affected by the New Zealand recall.
Healtheries The Wiggles Ricey Bites, cheese and tomato flavours, have also been recalled because they are manufactured on the same production line.
"There have been no product complaints received in respect to Healtheries The Wiggles products," Vitaco, which owns the Healtheries brand, said in a statement.
"Consumers should return the product to their retailer for a full refund. We sincerely regret the fact that the products have reached the market and consumers can rest assured a thorough investigation is under way."