Anaemia is a frequent complication of chronic kidney disease; if severe and untreated, it leads to a worsening of quality of life and an increased risk of resorting to haemotransfusions. Beginning with studies in physio-pathology that began in the late 19th century and continued into the 20th century, the first step was the identification of erythropoietin, then its purification, identification of the gene involved and finally the synthesis of recombinant human erythropoietin and its 'long-acting' analogues. Today, therapy with erythropoiesis-stimulating agents (ESAs), often in combination with martial therapy, is the standard of care for patients with chronic kidney disease and anaemia. Recently, ESAs have been joined by HIF-PHD inhibitors. Unfortunately, both categories of drugs, although effective and well-tolerated in most cases, may be associated with a possible increased cardiovascular and thrombotic risk, especially in particular categories of patients. For this reason, the choice of therapy with ESA and HIF-PHD must be customised in terms of haemoglobin target, molecule type and dosage to be used.