Top seed Nadal extended his winning streak to 13 matches with a 6-2, 6-1 demolition of American Jared Donaldson in the Qi Zhong Stadium before World No 2 Federer, to the delight of his sizeable Chinese fan club, got the better of Argentina's Diego Schwartzman 7-6(4), 6-4.
Andy Murray put down an early warning for the Davis Cup final when he dismantled David Goffin 6-1, 6-0 in awe-inspiring fashion to reach the quarter-finals of the Paris Masters on Thursday.
Rediff.com presents matches that shook up US Open.
It ended a woeful few days for reigning champions Croatia. They left with two losses.
France won their 10th Davis Cup title when Lucas Pouille crushed Steve Darcis 6-3, 6-1, 6-0 to give the hosts a 3-2 victory in the final against neighbours Belgium on Sunday.
Grigor Dimitrov stood one win away from the biggest title of his career on Saturday after ending his Jack Sock jinx to reach the final of the season-ending ATP Finals at the 02 Arena.
US Open champion Stan Wawrinka was knocked out of the Shanghai Open after a third round defeat, while Novak Djokovic and Andy Murray moved into the quarters.
World number one Novak Djokovic was sensationally disqualified in the US Open fourth round on Sunday after striking a line judge with a ball following a point during the first set of his match against Spain's Pablo Carreno Busta.
France will meet Serbia in the semi-finals of the Davis Cup after both finished off their last-eight ties inside two days on Saturday but Australia and Belgium were made to sweat.
Roger Federer survived a stern test from Spain's Roberto Bautista Agut to reach the Miami Open quarter-finals on Tuesday, while top-seeded Swiss compatriot Stanislas Wawrinka was eliminated on his birthday.
Spain's third seed Roberto Bautista Agut made a smooth entry into the men's quarter-finals at the ATP Chennai Open tennis tournament with a fluent 6-3, 6-2 win over German Peter Gojowczyk.
It was a repeat of the 34-year-old's straight sets victory over Andy Murray in the second round of the US Open in August.
Images from Day one of the 2019 Davis Cup at La Caja Magica in Madrid on Monday
Brothers Jamie and Andy Murray claimed a tense four-hour doubles rubber against Australian pair Lleyton Hewitt and Sam Groth on Saturday to put Britain 2-1 up and on the verge of a first Davis Cup final since 1978.
David Goffin put the visitors ahead by beating Lucas Pouille in the opening singles before Jo-Wilfried Tsonga levelled for 1-1 when he defeated Steve Darcis in the second singles on Friday.
The first player to win a Grand Slam, the ATP World Tour Finals, the men's singles at the Olympic Games and a Masters title in the same calendar year.
On the men's side, the fields have already been divided into two ATP 250 tournaments.
Big-serving Czech Karolina Pliskova cruised into the semi-finals of the BNP Paribas Open with a 6-3, 6-2 victory over Russian teenager Darya Kasatkina on Thursday.
Defending champion Novak Djokovic defeated Belgium's Steve Darcis 6-0, 7-5 on Monday to power into the last 16 of the Miami Open.
Djokovic is clubbed with Federer, Juan Martin Del Potro, David Goffin and Alexander Zverev.
Rafael Nadal suffered a shock 7-5, 6-3 defeat by Austrian Dominic Thiem in the Madrid Open quarter-finals on Friday, a result that means the Spaniard will lose the world number one ranking.
When it comes to producing the raucous atmospheres which help make the Davis Cup unique among tennis events, few do it as well as the Belgians who have reached two of the last three finals, losing on both occasions.
Rafael Nadal will skip the Miami Open that begins later this month in a bid to recover from a back injury in time for the clay court swing
Rafael Nadal stayed on course for a record-extending 10th Monte Carlo Masters title when the Spaniard beat David Goffin 6-3, 6-1 in the semi-finals after the Belgian was denied a key point in controversial fashion on Saturday.
IMAGES from matches on Day 8 at the French Open
Swiss second seed Stanislas Wawrinka won a hard-hitting battle with American Jack Sock on Thursday to reach the quarter-finals at the Rogers Cup with a 7-6(3), 6-2 triumph.
Roger Federer says he does not regret passing up the chance to topple great rival Rafael Nadal from the top of the world rankings at the ATP Finals in London this week.
Novak Djokovic wore down Lucas Pouille after an even first set, dispatching the Frenchman 7-6(2), 6-1 in a Cincinnati Masters quarter-final in Ohio on Friday.
Juan Martin del Potro could be a 'nightmare opponent' for Rafael Nadal when they clash in the French Open semi-finals on Friday, according to former champion Mats Wilander.
Defending champion Stanislas Wawrinka survived some anxious against Gilles Muller before proceeding into the men's singles semi-finals at the ATP Chennai Open tennis tournament.
The Briton, who was thrashed 6-3 6-1 by the Croatian in the Dubai Championships in 2015, performed poorly in the first set and after recovering in the second he then surrendered his serve in the seventh game, giving Coric three break points.
Maria Sharapova, Serena Williams and Andy Murray were the big names to win on Monday and advance to the quarter-final of the Wimbledon.
Roger Federer added yet another record to his vast collection when he guaranteed becoming the oldest ATP world number one by beating Dutchman Robin Haase 4-6, 6-1, 6-1 to reach the semi-finals in Rotterdam on Friday.
Britain's Johanna Konta has learned much from matches against Grand Slam champions and former world number ones over the last 18 months but on Wednesday her education will be complete when she faces Serena Williams in the Australian Open quarter-finals.
Eleven-times champion Rafael Nadal booked his place in the semi-finals of the Barcelona Open semi-finals by beating German Jan-Lennard Struff 7-5, 7-5 in a hard-fought match on Friday.
The latest tennis rankings have been announced by the ATP and WTA
Images from Day 6 of the French Open matches played at Roland Garros in Paris on Friday.
The top women's seeds continued to be scattered at Wimbledon on Wednesday, with Caroline Wozniacki's exit meaning five of the top eight were gone before the end of the third day.
India's top tennis players Mahesh Bhupathi, Saketh Myneni, Jeevan Nedunchezhiyan and Sriram Balaji have been granted wild card entries into the doubles draw of Chennai Open, the organisers announced on Monday.
Victoria Azarenka withstood some early pressure from Britain's Johanna Konta to continue her quest for a third Miami Open title with a 6-4, 6-2 quarter-final victory on Wednesday.
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