He later said to the umpire: "You know I literally could just go to the ATP office after this and say I just felt put down from your comment and you'd be in trouble, right?"
"When he's fresh we don't see him "leave the court" so to speak where his eyes wander; when he's playing fresh he's got the opponents in his sights". "But I think, you know, just the way he goes about things, I could take a leaf out of his book".
Three games later, Kyrgios smashed an ace and turned to Dumusois to ask "was that borderline poor?" before the French official told him "that's enough".
"It hasn't been the year he'd like and I think next year it's about a focus on slams and actually performing and going deep in those", he said.
Coric, seeded 13th, will next face American qualifier Bradley Klahn, who claimed a hard-fought 4-6, 6-4, 6-3 win over Nick Kyrgios.
The Croatian, 21, won 4-6, 6-4, 6-3 and will play Klahn in the next round.
Reigning Shanghai Champion and 20-time Grand Slam victor Roger Federer sounded a note of caution for Nick Kyrgios, saying that the Australian can not unlock his full potential till he understands work ethic.
Nick Kyrgios continued his Shanghai nightmare with a first-round exit. He had breached the unsportsmanlike line of conduct many times in the past in Shanghai, and today was nothing different. On that day, he gave minimal effort on serve, and on one occasion, he even began walking back to his chair before a serve from Zverev.
At the recent US Open, a disinterested Kyrgios was given a controversial mid-match pep talk by an umpire as he drifted towards a second-round defeat.
Kyrgios will now drop to a lowly 38th place in the world rankings, his lowest position since February 2016.
Kyrgios, who this week lost his status as Australia's number one to 33rd-ranked Alex de Minaur, has a chequered history in Shanghai.
Tiafoe, however, lost to Matthew Ebden 3-6, 6-4, 6-3.