While many people think that wombats make good pets, the truth is that they don't survive well in captivity. In addition, wombats are considered exotic pets in most areas and may be subject to additional legal requirements.
In Australia, the native home of the wombat, it is illegal to keep these animals as pets. In addition, it's extremely difficult to legally import a wombat into most other countries. Wombats have a uniquely attractive appeal but are, at heart, wild animals. This means that they can be aggressive when removed from their natural habitat and do not make good pets. Individuals considering adopting a wombat may wish to review their local laws and statutes before taking action.