Allegedly a supporter throwing a bottle onto the pitch at Madrid keeper Courtois sparked the chaos.
The PL stressed any individuals identified and found guilty could face stadium bans and legal prosecution.
In a statement released after the match, Wilson described the events as “deeply disappointing”.
Paris FC will be the hardest hit when they travel to face Toulouse FC, while FC Nantes will be without top scorer Matthis Abline.
Tensions flared late in the second half, leading to dismissals on both benches and subsequent suspensions.