The invention is directed to the removal of serum gal-3 from circulation by plasmapheresis using gal-3 binding agents in either a fixed bed, or in a form easily removed, such as by being complexed with magnetic particles. This method, on its own, brings a sharp reduction and relief from the inflammation and fibroses that can be induced by circulating gal-3. The process may be combined with the administration of gal-3 binding agents, such as modified citrus pectin, to further lower unbound gal-3 levels, to the point where gal-3 in the tissues may be addressed. This method may also be combined with removal of TNF receptors to provide an effective treatment for cancer.