Minella is also due to play women's doubles with Latvia's Anastasija Sevastova.
Maria Sharapova had not played since a shoulder injury forced her off the tour in August, but she made up for lost time when she beat Garcia 6-3, 6-0 in just 64 minutes on Pat Rafter Arena.
Caroline Garcia of France had no answer to a ruthless Maria Sharapova who crushed her 6-3, 6-0 in just a little over an hour.
Defending champion Serena Williams eased past teenager Caroline Garcia to reach the Wimbledon third round on Thursday where she'll face 42-year-old Kimiko Date-Krumm, the oldest woman in the last 32 in the Open era.
The victory was also Serena's 75th in her last 78 matches, a run that stretches back to her shock first round departure at Roland Garros in 2012
The No. 1-ranked Williams seeks her first French Open title since 2002. She hasn't reached the semifinal since 2003.
Caroline Wozniacki of Denmark cruised into the quarterfinals of the Korea Open on Thursday by beating Caroline Garcia of France, 6-2, 6-3.
Sara Errani breezed into the semifinals of the Monterrey Open with a 6-1, 6-2 win over Luxembourg's Mandy Minella on Friday.
Fourth-seeded Alexandra Dulgheru of Romania and No. 7-seeded Mathilde Johansson of France were knocked out in the first round of the Monterrery Open on Tuesday.
Russia's Maria Sharapova had to contest a commendable challenge from 17-year-old French wild-card entry Caroline Garcia before reeling off the final 11 games to win 3-6, 6-4, 6-0, on Thursday.