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Investigations of scattering in presence of non-linearity which have justbegun require the confinement of both the potential, $V(x)$, and thenon-linearity, $\gamma f(|\psi|)$. There could be two options for theconfinement. One is the finite support on $x \in [-L,L]$ and the other one ison $x \in [0,L]$. Here, we consider real Hermitian potentials and report asurprising disparate behaviour of these two types of confinements. We provethat in the first option the symmetric potential enjoys reciprocity of bothreflectivity ($R$) and transmitivity ($T$) and their unitarity. Moreinterestingly, the asymmetry in $V(x)$ causes non-unitarity ($ R+T\ne 1$) andthe non-reciprocity (reciprocity) of $T (R)$. On the other hand, the secondoption of confinement gives rise to an essential non-unitarity even when $V(x)$is symmetric about a point in $[0,L]$. In the absence of symmetry there occursnon-reciprocity of both $R$ and $T$.

Non-unitarity and non-reciprocity in scattering from real potentials in presence of confined non-linearity