  We consider Josephson junctions formed by multiple superconductors with
distinct phases and explore the formation of nonlocal or inter-superconductor
pair correlations. We find that the multiple superconductor nature offers an
additional degree of freedom that broadens the classification of pair
symmetries, enabling nonlocal even- and odd-frequency pairings that can be
highly controlled by the superconducting phases and the energy of the
superconductors. Specially, when the phase difference between two
superconductors is $\pi$, their associated nonlocal odd-frequency pairing is
the only type of inter-superconductor pair correlations. Finally, we show that
these nonlocal odd-frequency Cooper pairs dominate the nonlocal conductance via
crossed Andreev reflections, which constitutes a direct evidence of
odd-frequency pairing.
