A device for separating blood into blood components comprising:-a collecting container ( 2 ) for receiving blood (WB),-a first satellite container ( 4 ) connected, in fluid flow communication, to said collecting container ( 2 ) through a leukocyte filter ( 22 ) for receiving from said collecting container ( 2 ) a leukocyte depleted first blood component (PRP),-a second satellite container ( 6 ) connected, in fluid flow communication, with said collecting container ( 2 ) through said filter ( 22 ) for receiving from said collecting container a second leukocyte depleted blood component (PRC), and flow control means ( 36, 38, 42 ) for allowing fluid flow from said collecting container selectively into said first ( 4 ) or second ( 6 ) satellite container through said leukocyte filter ( 22 ), whereby whole blood (WB) can be separated into a first (PRP) and second (PRC) leukocyte depleted blood component with a single leukocyte filter ( 22 ). Preferably the second satellite container ( 6 ) is further connected to said collecting container ( 2 ) through conduit means ( 28 b, 34, 16 a) by-passing said filter ( 22 ), and the valve means are further adapted for allowing the transfer of an additive from said second satellite container ( 6 ) into said collecting container ( 2 ) only through said conduit means ( 28 b, 34, 16 a) bypassing said filter ( 22 ).