Garcia wins 7-6 (7-4), 4-6, 6-4 at Roland-Garros. She will next face Belarus' Anna Blinkova in the quarter-finals.
The 29-year-old won her first Grand Slam title at Wimbledon last year. She is ranked No. 5 in the world and No. 4 in the women's rankings. The match was the first of three matches between the two players in the French Open quarter-final on Monday.