The Indo-American pair lost to the Israel's Jonathan Erlich and Andy Ram in straight sets at the Madrid Masters.
Belgian Kristof Vliegen won a third-set tie break to upset eighth-seeded American James Blake 6-4, 3-6, 7-6 in the second round of the Madrid Masters on Wednesday.
Rafael Nadal posted a 7-6, 6-4 win over Andy Murray to claim a place in the quarter-finals of the Madrid Masters.
Andy Roddick and Juan Carlos Ferrero will contest the Cincinnati Masters final on Sunday.
Leander Paes now stands 11th in the individual category of ATP Doubles Entry Rankings released on Monday.
Paes and Nenad Zimonjic entered the semi-finals of the Madrid Masters beating Mahesh Bhupathi and Martin Damm on Friday.
Third and fourth seeds Nikolay Davydenko and Guillermo Coria were eliminated in the Madrid Masters.
The Indo-Czech pair thus set up a second round clash with Leander Paes and Nenad Zimonjic.
They will either face Bhupathi-Damm or the Bryan brothers in the second round of the Madrid Masters.
Four of Nadal's closest rivals failed to make the last 16, however, as third seed Ivan Ljubicic, fifth seed Nikolay Davydenko, eighth seed James Blake and ninth seed Marcos Baghdatis were upset in their ties.
Spain's Carlos Moya pulled out of next week's Paris Masters on Sunday with a shoulder injury, organisers said.
Newspaper allegations surfaced on Sunday saying that some players had thrown matches for financial gain.
Andre Agassi beat Spain's Tommy Robredo while Marat Safin knocked out Peruvian Luis Horna at the Madrid Masters.
Images from Day 8 of the 2021 French Open at Roland Garros in Paris on Sunday
Federer played a more aggressive game than the Spaniard but 27 unforced errors cost him a place in the final .
Ferrero brushed aside Thailand's Paradorn Srichaphan 6-4 6-2, a result that will be enough to keep him on top of the world rankings.
Unseeded Chilean Nicolas Massu brought Andy Roddick's 20-match unbeaten Tour run to a crashing end.
The top two seeds survived second-round scares at the Madrid Masters.
Spain's Feliciano Lopez sent the Australian ninth seed spinning out of the Madrid Masters on a night of surprises.
Zverev needed treatment on his left hamstring in the second set and was clearly hampered as his close friend Thiem put him through the wringer with his trademark groundstrokes.
The fifth seed's success made it the first time a Japanese male player had reached the last eight at Roland Garros since Jiro Satoh made it to the semi-finals in 1931 and 1933.
In the absence of an injured Yuki, a lot would depend on how the left-handed Prajnesh, who won a singles bronze medal at the Asian Games, performs.
Novak Djokovic's already brilliant season took on another dimension on Sunday when the world number one became the first man to win six Masters titles in a calendar year by dismissing Andy Murray 6-2, 6-4 in Paris.
The latest tennis rankings have been announced by the ATP and WTA