The study includes 3 periods: screening, treatment followed by the end-of-treatment evaluation and follow-up. During dialysis the patients will undergo the first cycle of chemotherapy according to the current standard of care for subjects with advanced cardiac AL amyloidosis. Measurements of FLC and cardiac biomarkers will be done before and after each dialysis session. High cutoff HD will be continued during the first chemotherapy cycle. After the first cycle the end-of-treatment evaluation will take place. Follow-up evaluations will be performed after the end of each subsequent chemotherapy cycle and every 2 months after chemotherapy discontinuation for 1 year or until disease progression occurs.