The win, which came as the 35th from 36 matches this season, also ties him with Rafael Nadal for a record 14th Roland Garros quarterfinals appearance.
Raheem Sterling opened the scoring for the visitors in the 17th minute, but Rodrigo Moreno's first goal for Leeds in the 59th minute, following an error from City keeper Ederson, gave his side a point they more than deserved.
Fiorentina loanee Pedro put the hosts ahead with a low strike before Bruno Henrique converted from the penalty spot after a Leo Gomes handball.
The two-time Grand Slam winner committed just seven unforced errors throughout the one-sided encounter and broke her opponents six times.
Peru head coach Ricardo Gareca has insisted he won't use the team's weakened squad as an excuse for any poor performances.
In the match between Jiangsu Suning and Beijing BG Development, Zhai Qingwei's long-range shot in the 29th minute helped Jiangsu defeat Beijing 1-0.
BERLIN, Oct. 6 (Xinhua) -- Most German fans might have difficulties recognizing their national team this Wednesday evening.
"We are an experienced team and know that we can do well without very important players," Gareca told reporters. "We have to be mentally prepared and make sure we are focused from the very first minute of the first match."
Burel wasted three set points when she took a 5-3 lead in the first set and stormed to 40-0 in the ninth game. But Zhang battled back to save all three, and held the serve before breaking Burel's in the tenth to level the score at 5-5.
New arrival Pedro Rodriguez scored the winner after the break as the Spaniard unleashed a missile into the net with both power and precision.
"I think we both played really well and a really great match. She played unbelievably good, considering she is so young, she has a very bright future," Zhang commented on her opponent.