If the visa is an offshore visa (for example – a Tourist visa, offshore General Skilled Migration visa, or Student visa), then there is no right of appeal. If you lodged an onshore visa application, or if there is an onshore sponsor, then it the visa refusal maybe appealed at the AAT (see other FAQ’s herein). The AAT is entirely independent of the Department, and the Tribunal member may overturn Departmental decisions if they are proved to be incorrect.