The world number six bounced back from 0-2 down against Matteo Berrettini to win the encounter in sudden death.
That means he has a record at the Mouratoglou Academy of six wins to just one defeat - which came against Dominic Thiem.
Unvaccinated players could be allowed to play at Australian Open
David Goffin put in a solid display to beat the mercurial Corentin Moutet 3-1 - and was not distracted by his compatriot's spell of racket-smashing.
Highlights: Stefanos Tsitsipas beats Dustin Brown to maintain Ultimate Tennis Showdown streak
In the afternoon session, Dustin Brown won his first match of the tournament with an impressive display against Feliciano Lopez, taking the encounter 3-1.
And the veteran Richard Gasquet looked exceedingly comfortable against Alexei Popyrin, easing up only in the final quarter to win 4-1.
Patrick Mouratoglou: 'I discovered Stefanos Tsitsipas on Youtube'
How can Norrie qualify for ATP Finals? Who else is in contention?
Tsitsipas, Zverev stunned at Indian Wells as draw opens up for Norrie