On 24 August 2016, Escoval made his professional debut for Benfica's B team, playing the full 90 minutes in a 2–1 away win against F.C. Vizela in the LigaPro.[3] He contributed a further nine starts until the end of the season, helping to a final fourth position.[4]
On 18 August 2017, the 20-year-old Escoval and teammate Filipe Ferreira were sold to NK Istra 1961 from the Croatian Football League, as Mato Miloš moved in the opposite direction.[5] On 10 January 2018, he signed a 1+1⁄2-year contract with HNK Rijeka of the same country and league, with a three-year extension option.[6] He scored his first top-flight goal while in service of the latter club, opening the 2–0 away victory over NK Varaždin on 28 September 2019.[7]
^"Έναρξη συνεργασίας με Rodrigo Escoval" [Start of cooperation with Rodrigo Escoval] (in Greek). Anorthosis Famagusta. 31 January 2022. Retrieved 31 January 2022.
^Tsiptsios, Konstantinos (9 July 2022). "Επίσημα στον Βόλο ο Εσκοβάλ!" [Escoval officially to Volos!] (in Greek). Sports 365. Retrieved 14 December 2023.
^Ferreira, Bruno José (27 August 2023). "V. Guimarães-Vizela, 2–0 (crónica)" [V. Guimarães-Vizela, 2–0 (report)] (in Portuguese). Mais Futebol. Retrieved 14 December 2023.
^"Rodrigo Escoval renova até 2026" [Rodrigo Escoval renews until 2026] (in Portuguese). F.C. Vizela. 12 December 2023. Retrieved 13 December 2023.