[1] He made his senior debut with the reserves on 3 January 2016, playing the last 39 minutes in a 2–1 Primera Andaluza home win against CD San Roque de Lepe B. Vargas made his first team debut on 7 May 2016, playing the last four minutes of a 1–1 away draw against CD San Roque de Lepe in the Segunda División B championship.
[2] He only scored his first senior goal on 17 September of the following year, netting the B's opener in a 2–1 Tercera División home win against CD Gerena.
On 17 January 2019, after alternating between the first team and the B-side, Vargas signed for Sevilla FC and was assigned to the C-team in the fourth division.
[5] He made his debut with the main squad on 16 December, coming on as a second-half substitute for Nahuel Arroyo in a 0–1 away loss against Córdoba CF, for the season's Copa del Rey.
[6] Vargas' professional debut occurred on 21 December 2020, as he replaced Álvaro Peña in a 2–0 Segunda División away success over CD Mirandés.