  Quantum networks, which can exceed the framework of standard bell theorem,
flourish the investigation of quantum nonlocality further. Recently, a concept
of full quantum network nonlocality (FNN) which is stronger than network
nonlocality, has been defined and can be witnessed by Kerstjens-Gisin-Tavakoli
(KGT) inequalities [Phys. Rev. Lett. 128 (2022)]. In this letter, we explored
the recycling of FNN as quantum resources by analyzing the FNN sharing between
different combinations of observers. The FNN sharing in extended bilocal
scenario via weak measurements has been completely discussed. According to the
different motivations of the observer-Charlie1, two types of possible FNN
sharing, passive FNN sharing and active FNN sharing, can be investigated by
checking the simultaneous violation of KGT inequalities between
Alice-Bob-Charlie1 and Alice-Bob- Charlie2. Our results show that passive FNN
sharing is impossible while active FNN sharing can be achieved by proper
measurements, which indicate that FNN sharing requires more cooperation by the
intermediate observers compared with Bell nonlocal sharing and network nonlocal
sharing.
