Defending champion Caroline Wozniacki begins her WTA Finals campaign against Czech Karolina Pliskova in the opening night session on Sunday.
The Danish second seed has also been drawn in the same group as Petra Kvitova and Elina Svitolina.
Wimbledon champion Angelique Kerber, top seed in Simona Halep's absence, plays Kiki Bertens on Monday.
US Open champion Naomi Osaka and Sloane Stephens - both debutants at the season finale - complete their group.
The tournament, which also includes a doubles event, has a total prize fund of £5.36m.
Singapore is hosting the season-ending WTA Finals for the last time before the event moves to Chinese city Shenzhen next year.