This trial is being conducted at Hospital Universario in Monterrey to investigate the effect of cord blood on newborn infants who have suffered from oxygen deprivation (perinatal asphyxiation). The aim of the study is to determine if cord blood can prevent or limit the extent of damage when given within 48 hours of injury. The cells are delivered intravenously (IV) and they expect to enrol 20 participants. The neurological development of these infants will be monitored over one year and compared with that of the group of infants who did not receive treatment.