Burcă made his full international debut for Romania in September 2019, starting in a 3–2 UEFA Nations League victory over Austria.

He made his debut in the second tier of the Romanian league system on 14 September that year, in a 0–2 loss to CSM Studențesc Iași.

Following the conclusion of the 2015–16 season, his team withdrew from the championship because of financial issues; Burcă hence contemplated about retiring from football and starting college.

[4][5] With "the Railwaymen", he was a starter in all eight matches in the 2019–20 edition of the UEFA Champions League qualifiers, as his team was eliminated in the play-off round by Slavia Prague.

[14] He started in all four matches of the tournament, forming a defensive partnership with Radu Drăgușin, as the nation won its group but was eliminated by the Netherlands in the round of 16.