One of the main objectives of the experimental campaign on the Test Blanket Systems (TBS) in ITER is the demonstration of the efficient processing of the tritium generated in the Test Blanket Module (TBM).On the other side, efficient tritium processing in a TBS has deep implications on: (i) safe operation of TBS itself and whole ITER system; (ii) successful development and validation of tritium transport modelling codes; (iii) demonstration of DEMO relevancy of tritium processing technologies.This work describes various aspects of HCLL (Helium Cooled Lithium Lead) and HCPB (Helium Cooled Pebble Bed)-TBS activities related to TBS tritium management. After a short description of HCLL and HCPB blanket concepts and related TBS, the paper contains:1.a presentation of the key tritium processing technologies in the current design baseline of the European TBS;2.a discussion on the DEMO relevancy of some specific TBS tritium processing technologies;3.an overview on the activities related to the tritium transport modelling tools that will be validated along the development of the TBM project, including experimental campaign in ITER, and used for supporting the DEMO Breeding Blanket design.These three items are connected each other since tritium-related data, generated through the experimental campaign in ITER and interpreted through suitable modelling tools, will be one of the most significant outcomes in support of the breeding blanket design for DEMO and beyond.