Ostapenko's opponent, Peng Shuai, lost the first three games of the match but then was forced to retire through injury 0-3.
Ostapenko's next opponent will be Romanian Sorana Cirstea, who is ranked 44th in the WTA world rankings and also happens to be the Latvianš doubles partner, so the two should know each other's games well.
"She’s a really nice girl and a great player, and I think we’re good friends now... She plays similar to me, I think -- [Cirstea] plays aggressive tennis. And in New York we had some really good rallies, so hopefully tomorrow we will have a good match," Ostapenko said of the match-up.
Ostapenko currently is ranked 8th in the world after a sensational season that has sen her win the French Open and rise to the forefront of the world's elite players.
It also means she will take part in the lucrative season-ending tournament in October in Singapore featuring the top 8 players in the world and prize pot of 7 million dollars.