For millions of individuals, today, emigration presents stress levels of such intensity that they exceed the human capacity of adaptation. These persons are, therefore, highly vulnerable to Immigrant Syndrome with Chronic and Multiple Stress, known as the Ulysses Syndrome (in reference to the Greek hero who suffered countless adversities and dangers in lands far from his loved ones). This Syndrome is an emerging health problem in our societies, making itself manifest in the current context of globalization, in which the living conditions of a large majority of immigrants have deteriorated dramatically. Immigrant Syndrome with Chronic and Multiple Stress is characterized on the one hand, by the fact that the individual suffers certain extreme stressors or afflictions and, on the other, by the fact that he presents a series of symptoms from several areas. But The Ulysses Syndrome is not a mental disorder, it is a migratory extreme mourning, outside the area of psychopathology. The Ulysses Syndrome is found in the area of preventative health care and the psychosocial sector more than in the area of the treatment.