Inclusion Criteria:  Patients with a sepsis diagnosis, according to the diagnostic criteria of the International Sepsis-3 Consensus Conference, and without response to the treatment of septic shock who meet the following conditions: Sepsis of abdominal origin with controlled infectious focus. Noradrenaline dose> 0.5 µg / kg / min to maintain adequate organ perfusion after optimization of fluid therapy. Dysfunction of two or more organs with SOFA ≥ 9 (5). Blood lactate ≥ 2 mmol / L. Procalcitonin (PCT)> 10 ng / mL. CRP> 100 mg / L. IL-6> 2000 pg / ml.  Exclusion Criteria:  Age under 18 years or over 80 years. Pregnancy or breastfeeding. Terminally ill patients or with a life expectancy of less than 48 hours. Thrombocytopenia <60,000 / mm3. Pancytopenia. Severe coagulopathy with high risk of bleeding. Inclusion in another research protocol. In case of re-entry during the study period, only the first admission will be included. Use of another haemoperfusion device.