  It was suggested that two entangled fermions can behave like a single boson
and that the bosonic quality is proportional to the degree of entanglement
between the two particles. The relation between bosonic quality and
entanglement is quite natural if one takes into account the fact that
entanglement appears in bound states of interacting systems. However,
entanglement can still be present in spatially separated subsystems that do not
interact anymore. These systems are often a subject of studies on quantum
nonlocality and foundations of quantum physics. Here, we ask whether an
entangled spatially separated fermionic pair can exhibit bosonic properties. We
show that in certain conditions the answer to this question can be positive. In
particular, we propose a nonlocal bunching scenario in which two such pairs
form an analogue of a two-partite bosonic Fock state.
