Defending champion Stanislas Wawrinka and compatriot Roger Federer suffered contrasting third round defeats at the Monte Carlo Masters on Thursday.
The 36-year-old Swiss will play Canada's Milos Raonic in Sunday's final.
Battle-scarred Argentine Juan Martin del Potro clinched his 21st career title with a 6-4, 6-4 win over Kevin Anderson in the Mexican Open final in Acapulco on Sunday.
Veteran pairing Julien Benneteau and Nicolas Mahut booked France's place in another Davis Cup final as they won the doubles to seal the champions' 3-0 victory over Spain in their World Group semi-final on Saturday.
Rohan Bopanna and Pablo Cuevas shocked top seeds Marcelo Melo and Lukas Kubot to storm into the semi-finals of the Erste Bank Open
Rafa Nadal made light work of Italian Andreas Seppi to reach the final of the Hamburg Open on Saturday and will now face Fabio Fognini, who is chasing an almost unthinkable third claycourt victory over the Spaniard this season.
IMAGES from the matches played at the PNB Paribas Open at Indian Wells on Sunday
Novak Djokovic survived a scare at the French Open to beat unseeded Argentine Diego Schwartzman in five sets.
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 Day 8 of the Australian Open in Melbourne on Monday.
Former world number one Djokovic saved four match points but cracked under his opponent's tremendous pressure on the fifth as Goffin set up a last-four meeting with either clay court king Rafael Nadal or Argentine Diego Schwartzman.
Third seed Stan Wawrinka was knocked out in the third round of the Paris Masters when he lost 6-7(2), 7-5, 7-6(3) against South African Kevin Anderson on Thursday, suffering his fourth defeat in five matches.
Second seed Rafael Nadal survived a late fightback from Adrian Mannarino as he beat the French qualifier 6-1, 7-6(6) on Thursday to reach the quarter-finals of the China Open during a rain-hit day in Beijing.
If Rafael Nadal's Australian Open semi-final win over Greek sensation Stefanos Tsitsipas was one-sided, Novak Djokovic showed he could be even more brutal in his victory against Lucas Pouille on Friday.
Seventh seed Wawrinka of Switzerland set up a third-round meeting with Bulgarian ninth seed Grigor Dimitrov after seeing off Argentine Juan Monaco 6-4, 6-1.
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.
Norrie's semi-final opponent will be another American, fourth-seeded Tommy Paul, who crushed Stefan Kozlov 6-3, 6-1 in an all-US matchup.
Rafael Nadal will play for the Indian side in the second edition of the International Premier Tennis League.
Serena Williams recovered from a set down to beat Australian Ashleigh Barty 3-6, 6-3, 6-4 and book a place in the third round.
Victory meant Nadal set the record for the longest Davis Cup winning streak in combined singles and doubles rubbers with 23 matches in a row.
Fourth seed Grigor Dimitrov survived a scare against Pierre-Hugues Herbert before holding his nerve to win 3-6, 6-2, 6-4 in the second round of the Monte Carlo Masters on Tuesday, while Dominic Thiem edged out Russian youngster Andrey Rublev.
India's top two singles players, Somdev Devvarman and Yuki Bhambri headed towards a possible semi-final clash in the $50,000 ATP Challenger event after beating their respective rivals in contrasting fashion in Chennai.
Novak Djokovic is aware of Kei Nishikori's battling qualities having lost twice to the Japanese in 17 career meetings.
It was Roger Federer's fastest defeat since losing to Franco Squillari in 54 minutes in Sydney in 2003.
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.
Men's top seed Novak Djokovic and women's number two Angelique Kerber look to book berths in the last four of the US Open as the quarter-finals of the year's last Grand Slam get underway on Tuesday.
France's wait for a men's singles champion at Roland Garros will stretch into a 35th year, and three-times champion Mats Wilander says their current crop of stars are running out of time.
'You'd also be wrong if you tried to lump me in the same category as Bernard Tomic'
Novak Djokovic and Andy Murray will face off in a second claycourt final within eight days at the Italian Open after the two in-form players proved on Saturday that they will be the ones to beat at the season's second Grand Slam in Roland Garros.
Former world number one Novak Djokovic showed signs of a return to form with an impressive 7-5, 6-4 victory over Japan's Kei Nishikori in the opening round of the Madrid Open on Monday.
He leads the men's seedings ahead of defending champ Roger Federer, with Bulgarian Grigor Dimitrov seeded third.
Rafael Nadal continued his quest for a maiden Paris Masters title when he survived a second set blip to beat Uruguay's Pablo Cuevas
A summary of sports events and sports persons, who made news on Thursday
The Scotsman doesn't expect to win US Open this year
Raonic advances, Sock ousted in Rogers Cup
Home hope Bernard Tomic continued his promising form ahead of the Australian Open by overcoming Kei Nishikori to set up a Brisbane International semi-final against big-serving Canadian Milos Raonic.
Rafael Nadal will have his work cut out when play begins next week, not on the Caja Magica's three red dust courts, but on gaming consoles.
Andy Murray saved seven match-points in a 31-minute tiebreak that stretched to 38 points before he finally subdued Germany's Philipp Kohlschreiber 6-7(4), 7-6(18), 6-1 to reach the Dubai Championships semi-finals on Thursday.
World number one Novak Djokovic extended his winning run in Asia when he strolled into the last-16 of the Shanghai Masters.
India's Leander Paes and Rohan Bopanna along with their respective partners crossed the opening hurdle of the men's doubles event with hard-fought victories, even as Sania Mirza posted an easy win in the women's doubles at the French Open in Paris, on Wednesday.