With the two teams locked 2-2 in the overall tie after the first the three matches, it was left to their respective mixed doubles pairs to push them ahead.
World No 1 Novak Djokovic beat defending champion Andy Murray 6-2, 3-6, 6-3 in the Madrid Open final on Sunday to capture a record 29th Masters crown.
India's Sania Mirza put herself in contention for a seventh Grand Slam title as she breezed into the Australian Open mixed doubles final with Ivan Dodig, beating local favourites Samantha Stosur and Sam Groth in Melbourne on Friday.
Federer looked more relieved than overjoyed when Tiafoe's forehand found the net on match point to keep his hopes of a 20th grand slam title alive.
Defending champion Saina Nehwal sailed into the semi-finals of the US $700,000 China Open Super Series Premier after a straight games' victory over Japan's Nozomi Okuhara, at the Haixia Olympic Sports Centre, in Fuzhou, on Friday.
Images from Day 7 of the 2019 French Open in Paris on Saturday.
The match ended in 52 minutes as Williams played her forehand into the net.
World number eight Williams, who captured the first of her six US Open titles two years before her 17-year-old opponent was born, spent the first half of the match trying to find her rhythm but when she did she was off to the races.
David Ferrer sent local favourite Bernard Tomic packing with an easy 6-3, 7-5 win in the opening round of the Brisbane International on Monday.
If the Australian summer was the stuff of dreams, the showing at home against a quality England side across formats brought about hopes of a bright future.
World number one Naomi Osaka will "probably" defend her US Open title, even if it means defying her doctor's orders.
Indian challenge ended at the Hong Kong Open World Tour Super 500 tournament after Kidambi Srikanth and Sameer Verma lost their respective men's singles quarterfinal matches on Friday.
Images from Day 6 of the 2021 US Open in New York on Saturday.
Second seed and world number 14 Roberto Bautista Agut outclassed Benoit Paire in a lop-sided semi-final to set up the singles title clash of the ATP Chennai Open with young Daniil Medvedev, who rallied to reach his maiden ATP final, in Chennai on Saturday.
India continued their impressive run in the Badminton Asia Team Championships, scoring a hard-earned 3-2 victory over former champions Malaysia, in Hyderabad, on Friday.
Yuki Bhambri recovered from cramps just in time to down Tsung Hua Yang but Somdev Devvarman's fate was hanging in balance in the marathon unfinished second singles, suspended due to fading light, as India lead 1-0 in the Asia/Oceania Group I Davis Cup tie in Indore.
Images from Day 2 of the French Open matches played at Roland Garros on Monday
World number one Novak Djokovic turned the page on his contentious US Open exit and began his claycourt season with a convincing 6-3, 6-2 victory over wildcard Salvatore Caruso in the second round of the Italian Open.
World number one Novak Djokovic recovered from a first-set loss to overcome Germany's Mischa Zverev while Britain's Andy Murray swept past Belgium's David Goffin to reach the Shanghai Masters semi-finals on Friday.
Serena Williams squandered four match points and blew a 5-1 lead in the decider to fall to seventh seed Karolina Pliskova 6-4 4-6 7-5 in the quarter-finals of the Australian Open.
Images from Day 6 of the French Open in Paris on Friday.
Madison Keys arrived in New York with the dream of making a return trip to the U.S. Open final but her goal crumbled in such stunning fashion on Thursday that she may suffer nightmares for some considerable time to come.
Indian table tennis men's team settled for a historic bronze medal after losing 0-3 to South Korea in a lop-sided semifinal at the 18th Asian Games, in Jakarta, on Tuesday.
Olympic medallist PV Sindhu yet again finished second-best in a major final but grabbed a historic individual silver medal at the Asian Games after losing the women's singles title clash to world number one Tai Tzu-Ying in Jakarta on Tuesday.
Images from Day 7 of the 2020 US Open in New York on Sunday.
Ramkumar Ramanathan paid the price of not containing his unforced errors as he made a first round exit from the ATP Chennai Open while his compatriot and qualifier Vijay Sundar Prashanth also bowed out after a crushing defeat, on Tuesday.
Bopanna and Sharan defeated Kazakhstan's Aleksander Bublik and Denis Yevseyev 6-3, 6-4 in 52 minutes.
India's Harmeet Desai went down against Tristan Floreof France in the Under 21 Men's Singles final at the $3.5 million ITTF World Tour Qatar Open in Doha.
Juan Martin del Potro took advantage of an error-strewn Marin Cilic performance to beat the defending champion for a seventh time in a row on Saturday to set up another Swiss Indoors final showdown with Roger Federer.
Novak Djokovic finally clinched the title missing from his resume with a 6-4, 6-4 win over Roger Federer on Sunday to win in Cincinnati and become the first player to complete the sweep of Masters series tournaments on Sunday.
American Sloane Stephens kept intact her streak of never having lost a final as she defeated Latvia's Jelena Ostapenko 7-6(5), 6-1 to claim the Miami Open title on Saturday.
India's Saina Nehwal lost to Chinese Taipei's Tai Tzu Ying 21-16, 18-21, 21-14 and was knocked out of the BWF World Superseries Final in Dubai on Friday.
Novak Djokovic extended his unbeaten start to the season to 15 matches as he swatted aside German veteran Philipp Kohlschreiber 6-3 6-1 with ease on Wednesday to reach the Dubai Tennis Championships quarter-finals.
Images from Day 4 of the US Open in New York on Thursday.
Sisters Serena and Venus Williams marched into the quarter-finals of the Miami Open after straight-set wins at Key Biscayne on Monday.
India's veteran Leander Paes and his Swiss partner Martina Hingis stayed on course for their third Grand Slam of the year after advancing to the mixed doubles final at the US Open, in New York, on Wednesday night.
Caroline Wozniacki put a huge dent in Maria Sharapova's bid to finish the season as world number one by overcoming some distracting bright lights to down the Russian 7-6(4), 6-7(5), 6-2 in their marathon opening group match of the WTA Finals on Tuesday.
An emotional Agnieszka Radwanska claimed her maiden WTA Finals title with a roller-coaster 6-2, 4-6, 6-3 victory over Czech Petra Kvitova in an absorbing encounter at a packed Singapore Indoor Stadium on Sunday.
PV Sindhu and Kidambi Srikanth advanced into the second round while Saina Nehwal and Sai Praneeth made first-round exits at the All England Open Badminton Championships in Birmingham on Wednesday.
An 'upset' PV Sindhu says a historic gold medal at the World Badminton Championships slipped through her hands in the dying moments of the thrilling final against Nozomi Okuhara.