Mirza beat Lepchenko 6-2, 6-2 to reach the quarter-finals in Cincinnati for the third straight year.
The top seeds scored a straight sets victory over the Colombian-Chinese pair of Catalina Castano and Meng Yuan.
The third seeded Indian ace got the better of unseeded American Abigail Spears in her opening match of the WTA tournament.
Indian tennis star Sania Mirza and her new Czech partner Barbora Strycova have been seeded seventh at the WTA Western and Southern Open, one of the two events in tune-up to the US Open.
World number one Roger Federer warmed up for the defence of his U.S. Open title in perfect fashion as he beat fourth seed Novak Djokovic 6-1, 7-5 to win the Cincinnati Masters on Sunday.
The world's top four players will face off at the Cincinnati Masters on Saturday as Roger Federer, Andy Murray, Rafa Nadal and Novak Djokovic go head-to-head in two mouth watering semi-finals.
They were beaten by the top-seeded pair of Maria Elena Camerin and Gisela Dulko.
Russia's Vera Zvonareva rounded off a week of upsets with a 6-2, 6-4 victory over Katarina Srebotnik of Slovenia to win the Cincinnati Open on Sunday.
Serena Williams' scored a ruthless 6-3, 6-1 win over Bethanie Mattek to advance to the quarter-finals of the Cincinnati Open
Sania Mirza, seeded ninth, advanced with a 6-1, 0-6, 6-1 victory over Finland's Emma Laine.
Sania Mirza was leading 6-1, 2-0 when Alexandra Stevenson retired with a right shoulder strain.
'I know earlier in the tournament I said something in kind of a bad way and now I'm saying it in a good way: That it's because of your energy that I'm in the final'
Man of many faces, Medvedev now a Grand Slam finalist
Medvedev whips Dimitrov to enter US Open final
US Open: Serena ready for Svitolina challenge
Four years ago Berrettini was playing a Futures event in Italy and on Wednesday became the first Italian man since Corrado Barazzutti 42 years ago to reach the US Open semi-finals.
Fiery Australian Nick Kyrgios mostly kept his cool en route to a 6-4, 6-2, 6-4 dismantling of Antoine Hoang in their second round clash at the US Open on Thursday. The 28th seed had a row with the umpire even before the match started but avoided a full scale meltdown to reach the third round at Flushing Meadows for the fourth time.
'I don't mind when he misbehaves. Obviously, I don't like the bad language. It's just when he doesn't try to play tennis, when he doesn't try to win then I think the umpire needs to step in. I think in this situation, default him on the spot, rather than suspend him'
Australia's Nick Kyrgios could find himself in hot water again after accusing men's tennis governing body ATP of being "corrupt" following his US Open first round victory.
External Affairs Minister Sushma Swaraj ruled out the possibility of a hate crime.
The eight men to watch during the US Open which starts on Monday.
Fewer than half of Americans plan to go to sports events, concerts, movies and amusement parks when they reopen to the public until there is a proven coronavirus vaccine. That includes those who have attended such events in the past, an ominous sign for the sports and entertainment industries hoping to return to the spotlight after being shut down by the pandemic.
Halep's near-flawless display at the All England Club marked a spectacular return to form after her world ranking dropped from first to seventh between mid-January and July.
Summary of sports events and persons who made news on Friday
After losing the first set, Medvedev changed his approach midway through the second set, the Russian going for broke with pretty much every shot, particularly on second serve.
World number one Naomi Osaka will "probably" defend her US Open title, even if it means defying her doctor's orders.
Venus Williams also went the distance before claiming a 2-6, 6-3, 6-3 victory over Croatia's Donna Vekic.
The Indian ace was beaten in straight sets by Japan's Akiko Morigami.
The Indian ace beat Anna-Lena Groenefeld 6-4, 6-3 in the first round of the Western and Southern Financial Group Women's Open
Mardy Fish quit in the third set because of a back injury, allowing Andre Agassi to advance to the second round.
American teenage sensation Coco Gauff became the youngest player to win a WTA title in 15 years as she beat former French Open champion Jelena Ostapenko in the Linz Open final on Sunday.
World number one Novak Djokovic blasted past qualifier Alexei Popyrin 6-4, 6-2 to reach the second round of the Japan Open Tennis Championships in Tokyo.
Australia's Alex de Minaur fought back from a set down to beat former world number one Andy Murray
Former world number one Andy Murray won his first ATP tour singles match in nearly nine months with a 6-3, 6-7(6), 6-1 victory over American Tennys Sandgren in the opening round of the Zhuhai Championships.
Overpowers Svitolina to reach second straight US Open final
While prone to losing to modest opponents, Kyrgios often produces his best tennis when up against one of the 'Big Three' of Novak Djokovic, Roger Federer and Nadal.
A six-time champion at Flushing Meadows, Williams was once money in the bank when it came to the US Open
The 14-time Grand Slam winner said he is happy and proud to have reached the summit of the game for a fourth separate spell.
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