World Number 1 Angelique Kerber came through her match against I Falconi in 1 hour 27 minutes 64 64
Kerber wasn't yet showing her unique self but she made it through safely into the second round.
Coco Vandeweghe also defeated M Barthel in two sets 75 62
England defeated New Zealand 49-46 to level up the three-match Series at 1-1 heading into the deciding match on Wednesday morning.
Sloane Stephens advanced to her first Grand Slam final at the US Open on Thursday night