  Based on a recently proposed model of physical reality and an underlying
criterion of nonlocality for contexts [A. L. O. Bilobran and R. M. Angelo,
Europhys. Lett. {\bf 112}, 40005 (2015)], we introduce a quantifier of
realism-based nonlocality for bipartite quantum states, a concept that is
profoundly different from Bell nonlocality. We prove that this measure reduces
to entanglement for pure states, thus being free of anomalies in arbitrary
dimensions, and identify the class of states with null realism-based
nonlocality. Then we show that such a notion of nonlocality can be positioned
in a low level within the hierarchy of quantumness quantifiers, meaning that it
can occur even for separable states. These results open a different perspective
for nonlocality studies.
