In standard effective field theories, the notion of causality is intrinsically linked with that of subluminality and with a set of positivity constraints to be imposed on the low-energy scattering amplitudes.
I will highlight how the presence of gravity leads to a more subtle relation between causality, (sub)luminality and positivity bounds. These considerations are relevant for putting constraints on
cosmological and gravitational effective field theories and I will provide explicit criteria to be satisfied so as to ensure causality and a standard high energy completion in gravitational effective field theories.