Due to injury, Costa missed the 2015 FA Community Shield, which Chelsea lost 1–0 to rivals Arsenal. On 23 August, he scored his first goal of the campaign in a 2–3 win at West Bromwich Albion, which was Chelsea's first victory of the campaign, set up by international teammate Pedro. He scored his first Champions League goal for the team on 16 September, a volley from a Cesc Fàbregas ball in a 4–0 win over Maccabi Tel Aviv.