Top seed Novak Djokovic started his bid for a record-equalling sixth ATP Finals title with a classy win over Argentine debutant Diego Schwartzman.
The 33-year-old Serb, who has not won the event since 2015, eased to a 6-3 6-1 victory at the O2 Arena in London.
"The second set I started swinging through the ball more and with less hesitation," Djokovic said. "I was very pleased with the way I played."
Daniil Medvedev and Alexander Zverev meet in the same group later on Monday.
The season-ending event is being played behind closed doors because of the coronavirus pandemic.
That has led to a flat and eerie atmosphere at the near 18,000-seat arena, meaning London has been unable to wave farewell to the event - which moves to Turin in Italy next year - like tournament organisers would have intended.
Nevertheless, the lack of atmosphere did little to disrupt Djokovic in what proved to be a high-quality performance.
Perhaps there was a touch of nerves from the 17-time Grand Slam champion as he lost serve in the third game of the opening set, but he quickly settled to break straight back and then tighten his grip on the match.
Now hitting metronomically and moving freely, Djokovic wore down Schwartzman's service game again for a 5-3 lead and held his own serve to take the opening set.
Schwartzman, 28, has enjoyed a fine season in a disrupted 2020, reaching his first Grand Slam semi-final at the French Open in October and cracking the world's top 10 for the first time.
While his game is built on reliable hitting from the baseline and athleticism, it was not enough for the 5ft 7in Argentine to find a way past Djokovic.
Schwartzman knew he had to take some risks to break down Djokovic, but that translated into 10 unforced errors and just four winners in the opening set.
Sustaining his level and forcing Schwartzman into more mistakes was made to look easy by Djokovic in the second set as the Serb broke twice for a 4-1 lead and went on to clinch a straightforward win in one hour and 18 minutes.