Su-Wei Hsieh secured the biggest singles win of her career as she defeated a top 10 player for the first time in the form of Johanna Konta in three sets.
Muguruza got her title defence at Roland Garros off to the perfect start after she came through against former champion Schiavone in straight sets.
Tommy Robredo recovered from a set down to defeat Dan Evans 5-7, 6-4, 6-3, 6-1 to book his place in the second round at the French Open in what is his last tournament with a protected ranking.
The world number 66 was no match for the world number one in his first appearance in the third round of a Grand Slam as the Brit succumbed to the Serb in straight sets.
The Frenchwoman delighted the home crowd on court Philippe Chatrier as she produced one of her best singles performances of the year to advance to the third round.
The British number two won all five games today as she completed her three sets victory over her American opponent to reach the second round.
After an injury scare in Rome the French number one is relieved that he will be able to compete at his home Grand Slam this year.
The world number two discusses his aims to have a strong clay court season, culminating in triumph at Roland Garros and gives his thoughts on his toughest opponents.