China's Zhang Shuai overcame local favorite Alize Cornet 6-4, 7-6 (3) to reach the third round, equaling her previous best record at Roland Garros.
Pironkova, 33, who returned to the Tour at the US Open after three years' absense and made an impressive run to the quarterfinals, received a walkover to the third round in Paris.
"I am very happy and excited to sign for Maritimo," Alipour was quoted as saying.
"I'm really pleased with the victory. It's always tough to start the tournament. I was a bit nervous. She played really well in the first set, she didn't miss. Then I just found the rhythm," said the 2018 champion.
Pliskova wasted eight set points in the opener but recovered quickly in the following two sets, serving out the contest on Court Philippe-Chatrier after two hours and 15 minutes.
In the Changzhou division, 10-man Changchun Yatai came from behind to beat Sichuan Jiuniu 3-1.
"The question is how can you manage the club's return to the top eight of German football after a formative figure such as Clemens Tonnies has left," he said.
"We accomplished our goal in the first stage. It is a good result to rank first. We will have a good rest to face the second stage," said Shanghai goalkeeper Chen Wei after the game. Enditem
With the victory over Ymer, Djokovic improved his record this season to a stellar 32-1. The only defeat came in a disqualification earlier this month at the US Open, where he hit a ball in frustration which struck the line judge on the neck.
The resumption of the competitions will follow two friendly matches of the Iranian national soccer team with Uzbekistan and Mali on October 8 and 13 respectively.
To leave space for postponed matches, the Champions League's group phase's timeframe has been extended until January 28.