Diverticular disease is a common problem in the western population and sometimes leads to serious complications such as hemorrhage, bowel stenosis, obstruction, abscesses, fistulae, bowel perforation, and peritonitis. The severity of these complications can differ, and it is not always clear which procedure is indicated in each case and what measures should be followed before bringing the patient into the operating room. Certain operations have high rates of morbidity and mortality, especially in compromised patients. Along with advancements in imaging and minimally invasive techniques, the indications for surgery have currently being adapted to "damage limitation" or "down-staging" protocols, which seem to offer improved results. There are still some questions to be solved in the following years by prospective studies, such as the usefulness of laparoscopic lavage in purulent peritonitis or of Hartmann's procedure in fecal peritonitis. These indications, based on current literature, are systematically discussed in the present review.