The present invention concerns a kit (1) for ex vivo conditioning and purification of an explanted organ comprising: connection means from and to said organ (12)； fluid connection means (2)； a fractionation filter (4) and an absorption cartridge (5), in which the fractionation filter (4) has a cut-off ranging from 80,000 to 800,000 Da and is positioned upstream of said absorption cartridge (5). The kit advantageously further comprises a pump (3). A plasma filter with a pore diameter from 0.2 to 0.6 micron may be provided upstream of the fractionation filter in order to prevent clogging thereof.
