Los Blancos ran out 3-1 winners at Balaidos, in their first La Liga game of the season on Saturday despite Modric’s dismissal.
The Ballon d’Or winner was shown the red card for the first time in LaLiga, after catching Suarez early in the second half.
Modric was sent off after a VAR review, but after the game, he used social media to protest his innocence.
He tweeted: “Sent off for an accidental action.
“In life, I would never intentionally make such an action on a player. Totally involuntary!”
