On 8 July 2013, after scoring 13 times for Antoniana, Triverio joined Primera División side Argentinos Juniors.[2] He made his top tier debut on 2 August, in a 3– loss to Godoy Cruz, and scored his first goal on 2 November by netting the fourth in a 4–0 home routing of Olimpo.
In February 2015, after helping in Unión's promotion top the top tier with eight goals, the club bought 50% of Triverio's economic rights.[5][6]
Toluca
On 26 May 2015, Triverio agreed to a three-year deal with Liga MX team Deportivo Toluca.[7] He made his official debut for the club on 26 July, starting and scoring the opener in a 1–0 win against Tigres UANL at the Universitario Stadium.
On 10 March 2017, Triverio was given an eight-match ban by the Mexico Football Federation for having pushed referee Miguel Ángel Flores in the chest; three days later, the punishment was increased to a one-year ban, after the Liga MX referees' association (AMA) went on strike to force the cancellation of Liga MX and Copa MX Round 10 matches appalling at the initial consequences for Triverio and Pablo Aguilar from Club América, which refs viewed as too light.
Racing Club
On 8 August 2017, Toluca announced the departure of Triverio to Racing Club, on a four-year contract.[8]
Toluca return
On 10 July 2018, Triverio returned to Mexico and Toluca, after the club bought 50% of his economic rights.[9] After becoming a backup option, he was loaned to fellow league team Querétaro in July 2019.[10]
Triverio returned to Toluca for the 2020–21 season, but only scored one league goal.
Huracán
On 24 June 2021, Triverio signed an 18-month deal with Huracán.[11]