The outcome of liver transplantation in Spain has improved since our earliest experiences with this type of surgery, mainly due to breakthroughs in surgical and anesthetic techniques. Careful postoperative care of the patient also plays a key role, however, by providing the early diagnosis that allows appropriate management of complications. Together, such improvements contribute to reducing the morbidity associated with liver transplantation and to greater survival and quality of life for recipients. Early postoperative complications are diverse in nature and for convenience can be classified as either medical or surgical. This review deals with the main medical complications.