The Argentine trainer left out the star duo for the third consecutive game as their future remains in the balance, with the former reportedly close to joining Bayern Munich
The Basque side have named their squad for the match against Atletico Madrid on Monday evening, with the wantaway duo again left out of the group who travel to the Vicente Calderon.
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The Argentine trainer has maintained that whilst Los Leones will be worse off without their two best players, they have been placed on the sidelines because their future at the club remains in the balance.
"Llorente and Martinez have not trained because they have Sunday off and are not invited," Bielsa said in the pre-match press conference.
"Any project except [those of] Real Madrid and Barcelona, will be weakened if players like Martinez and Llorente [leave]."
Athletic Bilbao travel to the capital to face Diego Simeone's side on Monday.