The Pole said she wanted to do better this time and felt the pressure.
Aryna Sabalenka of Belarus and Paula Badosa of Spain, earned second-round wins
Venus Williams kept up with little sister Serena on Wednesday, beating 78th-ranked Timea Bacsinszky of Switzerland in straight sets to advance to the third round of the US Open.
Serena Williams played with fire at the French Open on Thursday but the world number one pulled through to the third round with a 5-7, 6-3, 6-3 win against unheralded German Anna-Lena Friedsam.
Leander Paes got the better of compatriot Mahesh Bhupathi in a thrilling mixed doubles encounter to enter the third round at the Australian Open, in Melbourne, on Monday. He and Daniela Hantuchova beat eighth seeds Bhupathi and Elena Vesnina 6-0, 2-6, 10-6.
World number five Juan Martin del Potro began his 2014 season with a win, albeit a scrappy one over Frenchman Nicolas Mahut to advance to the quarter-finals of the Sydney International on Wednesday.
A summary of sports events and persons who made news on Monday
Images from Day 3 of the Australian Open in Melbourne on Wednesday.
Former world number one Maria Sharapova eased past defending champion Peng Shuai 6-3, 6-1 at the Tianjin Open on Saturday to reach her first WTA final in almost two and a half years.
A long measure of Grand Slam patience paid off for Peng Shuai of China, who reached the semi-finals of the US Open on Tuesday by routing Swiss teenager Belinda Bencic 6-2, 6-1 in the Flushing Meadows heat.
The ATP issued the latest men's tennis rankings on Monday and the top 10 list remains unchanged with Serbian tennis ace Novak Djokovic still leading the rankings.
Images from Day 4 of the French Open matches played at Roland Garros in Paris on Wednesday
Images from Monday's action at the French Open.
Images from Day 3 of the 2020 French Open at Roland Garros, in Paris, on Tuesday.
Kei Nishikori swept aside Rafael Nadal in the quarter-finals of the Rogers Cup.
Top 10 seeds David Ferrer, Tomas Berdych, Stan Wawrinka and Richard Gasquet raced into the second round of the Australian Open on Monday, apparently eager to make the most of relatively mild conditions at Melbourne Park.
Reigning French Open champion Maria Sharapova, former world number one Venus Williams and Australian Samantha Stosur sailed into the second round of the China Open with straight set victories on Sunday.
A summary of the matches from Day 9 at the French Open.