Anisimova reached the semi-finals of the French Open last summer but pulled out of the US Open following the sudden death of her father and coach Konstantin.
Earlier on day one of the US Open, Edmund’s compatriot Cameron Norrie recovered from a two-set deficit for a marathon 3-6, 4-6, 6-2, 6-1, 7-5 win over ninth seed Diego Schwartzmann.
