Intussusception of the appendix is an uncommon event (200 cases previously reported) and intussusception after appendicectomy is rare (20 cases previously published). Two recent cases are reported, the first with primary appendiceal intussusception and the second ileocolic intussusception after appendicectomy. In the second case the final pathology report revealed an intussuscepted caecal duplication responsible for the ileocolic intussusception. This event has not been previously reported. Symptomatology, investigation, classification, differential diagnosis and surgical tactics are discussed.