The present invention relates to a system (100) for extracorporeal blood treatment comprising a first inlet (1) for introducing a bloodstream to be treated into the system (100), three blood treatment apparatus (A, D, G), as well as an outlet (2) for discharging a treated bloodstream from the system (100), wherein the system comprises an adsorber apparatus (A) and/or a plasma separator apparatus, a dialysis apparatus (D) and a gas exchange apparatus (G), and wherein the three blood treatment apparatus (A, D, G) are sequentially connected in series in a functional state of system (100) application between the inlet (1) and the outlet (2) of the system relative to a direction of blood flow of a bloodstream to be treated and can be consecutively perfused extracorporeally by a bloodstream to be treated. The present invention further relates to a treatment apparatus comprising such a system, a kit comprising the components of such a system, a method for operating such a system (100) as well as a method for extracorporeal blood treatment with such a system (100).
