Born in Rosario, Santa Fe, Cartabia moved to Spain and Valencia CF at the age of 13, going on to represent several of its youth sides.

[3] Cartabia made his debut in La Liga on 17 August 2013, starting and playing 65 minutes in a 1–0 home win against Málaga CF.

[4] He scored his first goals for the Che on 24 October, with a brace in the 5–1 victory over FC St. Gallen in the group stage of the UEFA Europa League.

[7] His first goal in the top flight arrived five days later, when he closed a 1–1 home draw with RC Celta de Vigo.

[9] In January 2017 he cut ties with Valencia and agreed to a permanent five-year contract at the Galicians, being then loaned to S.C. Braga of the Portuguese Primeira Liga for five months.