This article is a consensus statement from the European Society of Endocrine Surgeons on the definitions and management of advanced parathyroid cancer. It highlights the scarcity of literature on parathyroid carcinoma and the lack of evidence-based guidelines for its management. The article provides recommendations and consensus statements regarding the management and treatment of advanced parathyroid carcinoma, emphasizing the importance of imaging techniques, multidisciplinary team involvement, and surgical resection. It also discusses the role of radiotherapy, the challenges associated with diagnosis and staging, and the need for further research in this area. The document serves as a valuable resource for researchers and healthcare professionals interested in studying or treating parathyroid carcinoma. [Extracted from the article]