Contín had a youth spell with Club Sol Naciente, before joining Argentine Primera División side Gimnasia y Esgrima in 2013. He was an unused substitute twice during the 2014 Argentine Primera División campaign for matches against Defensa y Justicia and San Lorenzo. Two seasons later, in 2016, Contín made his professional debut in a home win against Quilmes on 4 April 2016. Another appearance followed versus Belgrano on 10 April, prior to Contín scoring his first senior goal against Rosario Central on 2 May. During 2016 and the following season of 2016–17, Contín scored three goals in thirteen matches in all competitions.