 Weak and strong coincident-friendly supervenience count as kinds of multiple-domain supervenience, but they differ from Kim’s weak and strong multiple domain supervenience in at least one important respect. The final quantifier in the definitions of coincident-friendly supervenience is existential, rather than universal as it is in Kim’s weak and strong multiple domain supervenience. As a result, Kim’s multiple domain supervenience says that if a and b are B-indiscernible, each thing R-related to a must be A-indiscernible from everything R-related to b. Coincidence-friendly supervenience says only that each thing R-related to a must be A-indiscernible from something R-related to b. This matters if R is B-indiscernibility, as it plausibly is in the case of spatio-temporal coincidence—the main philosophical application of multiple-domain supervenience.