  Non-locality consists in the existence of non-classical correlations between
local measurements. So far, it has been investigated mostly in isolated quantum
systems. Here we show that non-local correlations are present, can be detected
and might be robust against noise also in many-body open quantum systems, both
in the steady-state and in the transient regime. We further discuss the
robustness of non-local correlations when the open quantum system undergoes
repeated measurements, a relevant scenario for quantum cryptography.
