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Costa was informed by Antonio Conte last summer through a text message that he was not in the Italian’s plans for this season.
As a result, the 29-year-old refused to return to London from his Brazilian hometown of Lagarto which angered the Chelsea hierarchy.
Chelsea slapped the forward with a heavy fine and in an interview with the Daily Mail, he accused the club of treating him like a criminal.
David Luiz next club odds
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Costa eventually secured a return to his former side in September in a deal worth £57m.
He watched on from the stands as the Blues beat Atletico 2-1 at Wanda Metropolitano but Diego Simeone is keen to avoid any sideshows as his team travel to Stamford Bridge for the crucial Champions League fixture.
Costa will instead remain in Madrid to work on his fitness.
He is currently unavailable for selection for Atletico Madrid until January due to the imposed transfer ban by FIFA.
Atletico have to beat Chelsea and hope Roma fail to beat Qarabag if they are to have a chance of progressing to the knock-out stages of the competition.
Victory for Chelsea will guarantee them top spot in the group.