Rohan Bopanna and his Australian partner Matthew Ebden lost to Russian pair of Andrey Rublev and Karen Khachanov.
Djokovic, 38, is winless on clay this year after exiting the Monte Carlo Masters and Madrid Open with straight-sets losses last month, and his form is a concern heading into Roland Garros, which kicks off on Sunday.
Paes-Damm went down fighting against Jeff Coetzee of South Africa and Rogier Wassen of Netherlands 6-3, 6-7(5), 9-11 in the first round match in Paris on Monday.
Rublev came into the tournament on a four-match losing streak, but has eased into the final, knocking out second seed Carlos Alcaraz on the way, and will face unseeded Canadian Auger-Aliassime for the title on Sunday.
Spain's Carlos Moya pulled out of next week's Paris Masters on Sunday with a shoulder injury, organisers said.
Reader Suyash Singh met Indian tennis ace Leander Paes in Madrid.
'Trump does have a master plan in mind to put pressure on India with the additional tariff of 25 per cent to get Modi to persuade Russian President Vladimir Putin to freeze the Ukraine war.' 'It has not worked so far. By end-September only we'll know for sure the future trajectory of India's oil purchases from Russia,' observes Ambassador M K Bhadrakumar.
Indian ace Mahesh Bhupathi and his Bahamian partner Mark Knowles's final appearance at last week's Madrid Masters has booked the duo a berth in the season-ending prestigious Tennis Masters Cup to be held in Shanghai next month. The top seven teams in the ATP doubles race apart from Roland Garros winners Pablo Cuevas of Uruguay and Luis Horna of Peru would compete in the event.
Spain's Rafa Nadal and Carlos Alcaraz will team up to play doubles at this year's Olympic Games in Paris, the Royal Spanish Tennis Federation (RFET) said on Wednesday.
Novak Djokovic's frustration with the controversial blue clay at the Madrid Masters reached new heights after the world number one was beaten 7-6, 6-3 by fellow-Serb Janko Tipsarevic in the quarter-finals on Friday.
The American joins Roger Federer, Rafael Nadal, Novak Djokovic and Nikolay Davydenko who all have already booked their places at the elite eight-man tournament.
Unseeded Chilean Nicolas Massu brought Andy Roddick's 20-match unbeaten Tour run to a crashing end.
'It has been unforgettable, and I can only say 'thank you'. It has been an incredible journey. It's very difficult, but life and my body have been sending signals to me for a long time.'
The top two seeds survived second-round scares at the Madrid Masters.
India's PV Sindhu fought her heart out before going down narrowly to Thailand's Supanida Katethong in the women's singles quarterfinals of the Madrid Spain Masters Super 300 badminton tournament in Madrid on Friday.
Two-time Olympic medallist PV Sindhu overcame a sluggish start to defeat world number seven Han Yue of China in a thrilling contest, progressing to the quarterfinals of the Denmark Open Super 750 badminton tournament on Thursday.
Towering Croat Ivo Karlovic toppled third seed Novak Djokovic 7-6, 7-6 to make the quarter-finals of the Madrid Masters on Thursday. Earlier, world number one Rafael Nadal, Roger Federer and Andy Murray all made it to the last eight, but defending champion David Nalbandian went out.
Jannik and Carlos are the favourites at Flushing Meadows, but don't write these men off!
Top seed Rafael Nadal showed his trademark tenacity to beat Latvia's Ernests Gulbis 7-5, 3-6, 6-3 in the second round of Madrid Masters.
Federer played a more aggressive game than the Spaniard but 27 unforced errors cost him a place in the final .
Roger Federer faces a possible showdown with world number two Rafael Nadal in the Spaniard's own backyard after agreeing to play in this month's Madrid Masters.
The seventh seeds lost 2-6, 3-6 to Jordan Kerr and Todd Perry in the second round of the Madrid Masters.
Tsitsidosa era ends as Badosa announces split with Tsitsipas
Andy Murray outgunned Roger Federer while Gilles Simon defeated Rafael Nadal in the semi-finals of the Madrid Masters on Saturday.
Leander Paes and Lukas Dlouhy made a shock exit from the US $ 2,270,000 Madrid Masters, losing their second round match to wildcards Pablo Andujar and Marcel Granollers. The third seeded Indo-Czech pair managed to shrug off a disastrous start but eventually lost 1-6, 6-3, 7-10 to their Spanish opponents in 55 minutes.
World number one Roger Federer began the defence of his Madrid Masters crown with a 6-2, 7-6 dismissal of Benjamin Becker in the second round on Tuesday.
British number one Andy Murray continued his return to form with a classy 6-4 6-1 win over Radek Stepanek in the first round of the Madrid Masters on Monday.
Indian shuttler Priyanshu Rajawat stunned top seed Kenta Nishimoto to enter the quarterfinals of the Orleans Masters Super 300 badminton tournament.
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.
Australia's controversial tennis star Bernard Tomic has been labelled as the 'king of the excuse' by his country's media after he pulled out of the Rome Masters citing illness and excessive heat.
Roger Federer set up a rerun of his US Open final against Andy Murray by dispatching rising Argentine Juan Martin del Potro 6-3, 6-3 in the Madrid Masters quarter-finals on Friday. Top seed Rafael Nadal also progressed with a combative 6-4, 6-4 win over fellow Spaniard Feliciano Lopez.
Carlos Alcaraz heads to Paris for his French Open title defence having laid down a marker with his victory over world number one Jannik Sinner in Rome
World No 1 Novak Djokovic and defending champion Andy Murray produced contrasting performances to secure their berths in the quarter-finals of the Madrid Masters on Thursday.
Indian tennis ace Rohan Bopanna and his Uruguayan partner Pablo Cuevas were knocked out of the Madrid Masters after being crushed in straight sets in the opening round of the men's double event here last evening.
Novak Djokovic said he is building up to hit top form for his French Open title defence.
Novak Djokovic may have played at the Madrid Open for the last time after crashing out
Bopanna had scripted history in March to become the oldest ATP Masters 1000 champion when he and Ebden won the BNP Paribas Open.
