The relevance of luxury industry is still increasing at double digit from an economic perspective at the global level; whereas this dramatic increase is not followed by a comparable improvement of research about Luxury Supply Chain Management. This paper aims at presenting some papers as well as some examples from key luxury case studies, with the purpose of addressing a new research agenda for Luxury Supply Chain Management. And Supply Management, Demand Management, Contract Management, Variety Management, and Sustainability are areas of research that are still under-explored, although the incredible potential high relevance for luxury Critical Success Factors