[3] On 4 January 2014, Da Costa scored the opening goal of a 3–3 draw at home to Ligue 2 club Dijon FCO in the last 64 of the Coupe de France, losing on penalties.

[7] In his first top-flight season he found the net five times, including both goals of a 2–1 win at OGC Nice on 22 October that earned him a place in L'Équipe's team of the week.

[9] Da Costa was an 81st-minute substitute for Lebo Mothiba as they won the 2019 Coupe de la Ligue Final on penalties against EA Guingamp on 30 March.

[11] After that game, former France international Daniel Bravo described Da Costa's goal as "not bad for a black guy" during his beIN Sports punditry; he apologised in person for offence caused to the player, who accepted the apology.

[13] He debuted on 11 February in a 1–0 home loss to Charlton Athletic, playing the last twenty minutes in place of Ryan Yates; days later he was injured in an under-23 game against Crewe Alexandra.

[20][21] Da Costa made his international debut for Cape Verde on 4 June 2016 in a 2017 Africa Cup of Nations qualification match away to São Tomé and Príncipe.