Jannik Sinner looks to defend his ATP Finals crown from World No 1 Carlos Alcaraz as the world’s best players gather for the year-end tournament in Turin.
Sinner won his first ATP Finals title in front of his home fans in Italy last year, defeating Taylor Fritz in the title match to cap a dominant season after losing to Novak Djokovic the previous year.
This time, Sinner will face competition from a refreshed Alcaraz, who won all three of his round-robin matches to reclaim the year-end No 1 ranking for the first time in three years.
Alcaraz will face an in-form Felix Auger-Aliassime in the semi-finals after Sinner takes on Alex de Minaur, who qualified for the final four despite losing his first two matches of the round-robin.
ATP Finals results and schedule
Sunday 9 November
Singles
Carlos Alcaraz (1), def. Alex de Minaur (7), 7-6 (5), 6-2
Alexander Zverev (3), def. Ben Shelton (5), 6-3, 7-6 (6)
Doubles
Marcel Granollers and Horacio Zeballos (3) def. Kevin Krawietz and Tim Putz (6), 6-4, 4-6, 10-6
Simone Bolelli and Andrea Vavassori (7), def. Lloyd Glasspool and Julian Cash (1), 7-5, 6-3.
Monday 10 November
Singles
Taylor Fritz (6) def. Lorenzo Musetti (9), 6-3 6-4
Jannik Sinner (2) def. Felix Auger-Aliassime (8), 7-5 6-1
Doubles
Joe Salisbury, Neal Skupski (5) def. Marcelo Arevalo, Mate Pavic (2), 6-3 7-5
Henri Heliovaara, Henry Patten (4) def. Christian Harrison, Evan King (8), 6-4 6-4
Tuesday 11 November
Singles
Carlos Alcaraz (1) def. Taylor Fritz (6), 6-7 (2) 7-5 6-3
Lorenzo Musetti (9) def. Alex de Minaur (7), 7-5 3-6 7-5
Doubles
Simone Bolelli and Andrea Vavassori (7) def. Marcel Granollers and Horacio Zeballos (3), 7-6 (4), 6-4
Lloyd Glasspool and Julian Cash (1) def. Kevin Krawietz and Tim Putz (6), 7-6 6-2
Wednesday 12 November
Singles
Felix Auger-Aliassime (8) def. Ben Shelton (5), 4-6 7-6 (5) 7-5
Jannik Sinner (2) def. Alexander Zverev (3), 6-4 6-3
Doubles
Joe Salisbury, Neal Skupski (5) def. Henri Heliovaara, Henry Patten (4), 7-6 (7), 3-6, 10-7
Marcelo Arevalo, Mate Pavic (2) def. Christian Harrison, Evan King (8), 7-6 (5), 6-7 (2), 13-11
Thursday 13 November
Singles
Alex de Minaur (7) vs Taylor Fritz (6), 7-6 (3), 6-3
Carlos Alcaraz (1) vs Lorenzo Musetti (9), 6-4 6-2
Doubles
Kevin Krawietz and Tim Putz (6) def. Simone Bolelli and Andrea Vavassori (7), 7-6 (5), 4-6, 13-11
Lloyd Glasspool and Julian Cash (1) vs Marcel Granollers and Horacio Zeballos (3), 6-3 7-5
Friday 14 November
Singles
Jannik Sinner (2) def. Ben Shelton (6), 6-3 7-6 (3)
Felix Auger-Aliassime (8) def. Alexander Zverev (3), 6-4 7-6 (4)
Doubles
Henri Heliovaara, Henry Patten (4) def. Marcelo Arevalo, Mate Pavic (2), 7-6 (5) 6-2
Joe Salisbury, Neal Skupski (5) def. Christian Harrison, Evan King (8), 7-5 6-3
Saturday 15 November: Singles, doubles semi-finals
From 11:00am: Simone Bolelli and Andrea Vavassori (7) vs Henri Heliovaara, Henry Patten (2)
Not before 1:30pm: Jannik Sinner (2) vs Alex de Minaur (7)
Not before 5;00pm: Lloyd Glasspool, Julian Cash (1) v Joe Salisbury, Neal Skupski (5)
Not before 7:30pm: Carlos Alcaraz (1) vs Felix Auger-Aliassime (8)
Sunday 16 November: Singles, doubles finals
Not before 2pm: Doubles final
Followed by: Singles final
ATP Finals prize money
Singles
Participation Fee: $331,000 (£252k)
Per round-robin match win: $396,500 (£302k)
Semi-final match win: $1,183,500 (£902k)
Final win: $2,367,000 (£1.8m)
Undefeated champion: $5,071,000 (£3.87m)
Doubles
Participation Fee: $134,200 (£102k)
Per Round-robin match win: $96,600 (£73k)
Semi-final match win: $178,500 (£136k)
Final win: $356,800 (£272k)
Undefeated champion: $959,300 (£732k)