Simultaneous elements of reality for incompatible properties by exploiting locality

We show that the extensions of quantum correlations stemming from a "strict" interpretation of the criterion of reality of Einstein, Podolsky and Rosen raise the inadequacy of their ideal experiment for the assignment of simultaneous elements of reality to two incompatible properties. Then, we suggest a different physical situation enabling the simultaneous assignment of objective values of two incompatible observables of a spin particle by means of measurements of two compatible properties of a second correlated spin particle.