A "proud" Jannik Sinner beat world number one Novak Djokovic twice in one day to send Italy into the Davis Cup final with a 2-1 win over Serbia on Saturday in Malaga.

Novak Djokovic was furious after being asked to undergo a dope test shortly before Serbia's Davis Cup win over Great Britain, although the International Tennis Integrity Agency (ITIA) said Saturday it was standard practice and he had not been singled out.

Alex de Minaur guided Australia into a second successive Davis Cup final with an assured 2-0 win over Finland on Friday in Malaga.

Djokovic was enraged as some fans tried to drown out his victory speech with drums, which the superstar said he felt he had to respond to.

Serbia are one of the eight surviving nations from September's group phase and will face Britain on Thursday.

At 36 years old Djokovic is still tennis' number one player by some distance and he has racked up a host of new records this season, taking his Grand Slam tally to 24 and finishing top of the year-end world rankings for the eighth time.

Novak Djokovic closed in on a record-breaking seventh ATP Finals title on Saturday after sweeping past Carlos Alcaraz 6-3, 6-2 in a dominating semi-final display he hailed as his best of the tournament.

Carlos Alcaraz is dreaming of victory at the ATP Finals after setting up a semi-final showdown with Novak Djokovic with Friday's 6-4, 6-4 win over Daniil Medvedev.

World number one Novak Djokovic beat ATP Finals alternate Hubert Hurkacz 7-6(1) 4-6 6-1 in their Green Group clash on Thursday and advanced to the semi-finals after Jannik Sinner edged Holger Rune 6-2 5-7 6-4 in the evening match.

Russian Zverev put on a powerful display to see off world number two.

The 24-time Grand Slam champion needed just one win or a defeat for young rival Carlos Alcaraz in order to secure top spot in the ATP rankings for 2023 and prevailed in a three-hour Green Group clash with spirited debutant Rune.

The 36-year-old Djokovic eclipsed his previous record set two years ago as the tournament's oldest champion, capturing his 40th Masters 1000 title and stretching his winning run to 18 matches.

Novak Djokovic rallied to defeat Andrey Rublev 5-7, 7-6 (7/3), 7-5 in a gripping Paris Masters semi-final on Saturday, earning a shot at a record-extending seventh title in the final against Grigor Dimitrov.

"It's very tough seeing children, babies dying every day," she said.

Djokovic will spearhead Serbia at the tournament from December 29-January 7 in Sydney and Perth as he builds towards the defence of his Australian Open title.

The world number two said he had been "out of my mind" during his semi-final match against Jannik Sinner in the Chinese capital, which the Italian won 7-6 (7/4), 6-1.

World number one Aryna Sabalenka sailed into the second round of the China Open with an imperious 6-1, 6-2 defeat of Sofia Kenin on Sunday.

Eighth seed Veronika Kudermetova claimed her first title of the season and second overall with a comprehensive 7-5 6-1 win over world number four Jessica Pegula in the Pan Pacific Open final in Tokyo on Sunday.

Chinese tennis trailblazer Zhang Zhizhen claimed the nation's first men's singles gold medal at the Asian Games in nearly 30 years on Saturday, riding a wave of crowd support to beat Japan's Yosuke Watanuki 6-4 7-6(7) in Hangzhou.

Newly crowned world number one Aryna Sabalenka said Friday she is "super motivated" to finish the year in top spot as she prepares to compete in the China Open in Beijing.