A karo na biyu a cikin aikinsa, Costa ya kasance mai maye gurbin da ba a yi amfani da shi ba yayin da Atlético ya lashe gasar
UEFA Super Cup a ranar 1 ga Satumba 2012. A wannan Disamba, Costa ya shiga cikin rikice-rikice da yawa a filin wasa a wasanni biyu daban-daban. Na farko shi ne a cikin rashin nasarar da aka yi a cikin gida 0<unk>2 da Real Madrid inda ya guje wa horo bayan da ya yi tawaye tsakanin shi da Sergio Ramos. An fitar da shi a wasan da ya biyo baya a Viktoria Plzeň a UEFA Europa League saboda buga abokin hamayyarsa David Limberský, kuma UEFA ta dakatar da shi wasanni hudu. Wannan, duk da haka, bai hana kocin Diego Simeone ci gaba da farawa ba, kuma ya amsa ta hanyar zira kwallaye uku a wasanni biyu na gida, a kan Deportivo de La Coruña a gasar (6<unk>0) da Getafe a Copa del Rey na kakar (3<unk>0).