Interaction of human and socially assistive robot can have applicability in actual settings, and adoption to function in human environment for Alzheimer's disease. This review revealed that there are still several technical challenges that must be addressed in future advancements before being integrated in real life of individuals with Alzheimer's disease. The results will help move towards the establishment of best practices for the development of human and socially assistive robot interaction for Alzheimer's disease and, in turn, help enhance the experience of people suffering from this disease.