  Incompatibility of observables, or measurements, is one of the key features
of quantum mechanics, related, among other concepts, to Heisenberg's
uncertainty relations and Bell nonlocality. In this manuscript we show,
however, that even though incompatible measurements are necessary for the
violation of any Bell inequality, some relevant Bell-like inequalities may be
obtained if compatibility relations are assumed between the local measurements
of one (or more) of the parties. Hence, compatibility of measurements is not
necessarily a drawback and may, however, be useful for the detection of Bell
nonlocality and device-independent certification of entanglement.
