That is likely to mean that Luiz will miss his side's next three league games which will include the visit of fellow title-contenders Manchester City.
Arsenal had the better chances, the best when Alexandre Lacazette shot wide after Aaron Ramsey had hit the post.
Each side had their recognised star players on the bench as both Eden Hazard and Alexis Sanchez started as substitutes and were only brought on just after the hour mark. It has been Arsenal, more than any English club, who have formed the sturdiest barrier between Conte's Chelsea and a sweep of trophies during his short time in London.
Arsenal's draw snapped a five-match losing streak away to Chelsea in the league and left them in 12th place with seven points.
"With a bit more freedom we could have won this game with one or two goals difference, but it was important we didn't lose".
They have already been condemned to a beating by one such side this year too after they were trounced 4-0 at Liverpool last month.
The points are shared at the Bridge... Alex Iwobi and Danny Welbeck worked hard on the flanks and Arsenal remained more compact.
Eden Hazard - 6, almost recreated his goal against the Gunners last season, snaking his way through the Arsenal backline before his shot from 20 yards was saved.
Tiemoue Bakayoko was a half-time replacement for Pedro, with Fabregas pushing forwards, and powered through Arsenal with a strong run which broke down. For me he played very well, had a lot of the ball and tried to send Willian, Pedro and our wing-backs.
Hazard cut inside and fired at Cech at the other end, but a disappointing second half did have a dramatic sting in the tail when David Luiz lost possession and jumped in high on Kolasinac as the Blues ended another match against Arsenal at a numerical disadvantage.
'My feelings for the club, well I don't have to repeat myself, every single time we play against them, because it's known.
"I was a player and I think it can happen, this type of period, if you are not so lucky and receive red cards".
A disappointing afternoon for Chelsea and the Stamford Bridge crowd having failed to beat an Arsenal team that looked there for the taking.
A wonder goal in Arsenal's first Europa League outing on Thursday against FC Koln reminded fans just why they have adored their South American import but on Sunday, that adoration quickly turned to scorn.