The Indo-Swiss duo went down 3-6, 7-5, 7-10 to Cara Black and Liezel Huber at the Kremlin Cup.
The Indian ace was beaten by Argentina's Gisela Dulko 3-6, 4-6 in the $1,340,000 Kremlin Cup in Moscow.
The meeting on the sidelines of the Shanghai Cooperation Organisation Summit in Bishkek is their first interaction after Modi's re-election following the stunning victory of the BJP in the general elections last month.
The Russian overcame a groin injury to reach her first Kremlin Cup final beating Czech teenager Nicole Vaidisova.
The Czech teenager beat top seed and world number one Amelie Mauresmo 1-6, 7-5, 7-6 in the Kremlin Cup quarter-finals.
Top seed Amelie Mauresmo joined Russian trio Elena Dementieva, Nadia Petrova and Anna Chakvetadze in the Kremlin Cup quarter-finals on Thursday.
The interfaith conference is being attended by a host of international dignitaries from 38 countries.
Argentina may have been knocked out of the World Cup in Russia, but plenty of their frustrated fans remain, holding tickets to finals they expected their team to feature in - while hoping desperately that bitter rivals Brazil get eliminated.
Investigators have also been looking for any evidence of possible financial crimes by Trump associates.
Russian began observing a two-day mourning in honour of the children killed in Beslan.
A Russian comic's song which mocks the country's World Cup team and questions the financial sense of hosting the event has gone viral on the eve of the tournament, angering some fans and politicians.
Vineet Kumar had changed several hard disks before the search operation at its headquarters in Sirsa.
The world No. 1 scraped into the Kremlin Cup quarter-finals when Anna-Lena Groenefeld retired with an ankle injury leading the second-round match 6-1, 4-2.
Former World chess champion turned Kremlin critic Garry Kasparov has asked Latvian politicians to grant him citizenship to help him pursue his political activities in Russia.
News of all that's transpired on and off the football field
'This is a historic juncture when the US is in great need of an alliance with India to strengthen its hands in the fierce struggle with China in the Asian theatre,' points out Ambassador M K Bhadrakumar.
'China was a relationship from which Mr Modi had expected the most it seems.' 'It showed in a string of summits, and somewhat breathless celebration of Xi Jinping.' 'It was hasty and simplistic,' observes Shekhar Gupta.
The prime minister would hold summit level talks with Russian President Vladimir Putin.
Chechnya's administration chief Ahmad Kadyrov and Moscow-appointed Premier Mikhail Babyche were not in the\n\nbuilding when the strike took place, according to NTV channel.
A summary of sports events and sports persons, who made news on Tuesday
The top seeds beat the Swiss-German pair of Yves Allegro and Michael Kohlman in the quarter-finals of the Kremlin Cup.
Russia is a strong and reliable friend of India and both countries have a "truly strategic" partnership, PM Modi on Thursday told President Vladimir Putin.
Russia said on Friday it is ready to do everything from a legal point of view to defend Russian athletes if they are banned from taking part in the Rio Olympics over doping allegations.
Czech Lucie Safarova took the final qualifying spot for the end-of-season WTA Finals after Spain's Carla Suarez Navarro was knocked out of the Kremlin Cup quarter-finals on Thursday.
The French Open champion won 6-4, 7-6 to reach the Kremlin Cup final for the second year in a row.
Investigators on Sunday began probing the crash of a Russian Airbus plane in Egypt's Sinai Peninsula that killed all the 224 people on board.
Officials said the attack could have been aimed at the parliament house.
When Croatia take on France at Moscow's Luzhniki stadium later on Sunday, the team hopes to settle an old score with the French dating back to the 1998 World Cup.