The Croatian instead underwent a recovery session in the gym, whilst his team-mates were put through their paces.
Zinedine Zidane put his players through their paces, which was Real's fourth of the week, but the first since their considerable international contingent had returned from action overseas.
Sergio Ramos, Nacho, Marco Asensio, Raphael Varane, Marcelo, Casemiro, Toni Kroos, Jesús Vallejo, Dani Ceballos and Borja Mayoral were amongst the players welcomed back unharmed after their international involvement.
Despite Modric's absence, there has been no suggestion from Real's medical department that the Croatian is at risk of missing Saturday's trip to the Wanda Metropolitano.
Costa Rican goalkeeper Keylor Navas remains unavailable as he continues his recovery from a groin problem, though he did take part in some of the session alongside Kiko Casilla and Moha before retreating indoors to follow his individual training plan.
Luca Zidane and Gareth Bale remain sidelined through injury, whilst Modric's fellow countryman Mateo Kovacic continued to work on getting himself back up to speed with the rest of the group after a lengthy lay-off.
Ball work was the order of the day for 'Los Blancos', with Real working on possession drills, their pressing and their crossing and finishing under Zidane's watchful eye.