On 18 July 2016, Pussetto was sold to Huracán for $1.4 million, after rejecting offers from Vélez and Unión.[5] On 29 October 2016, Pussetto scored his first goal for Huracán in a 1–1 draw with Rosario Central.[6] On 11 September 2017, Pussetto led his club to a 1–0 victory over Newell's Old Boys, scoring the loan goal of the match.[7] The following week, on 18 September, Pussetto scored two goals for Huracán in a 3–1 victory over Gimnasia y Esgrima La Plata at Estadio Juan Carmelo Zerillo, the first victory for Huracán in that venue in 31 years.[8]
Udinese
On 17 July 2018, Pussetto signed with Serie A club Udinese for a fee of around €8 million.[9]
Watford
On 14 January 2020, Pussetto signed a four-and-a-half-year deal with Watford for £7 million.[10]
On 5 October 2020, Pussetto returned to Udinese on a season-long loan.[11] On 30 June 2021, the loan to Udinese was extended for the 2021–22 season.[12]
On 1 September 2022, Pussetto joined Sampdoria on loan with an option to buy. He also signed a contract with Sampdoria until 2026, which would have been in effect if Sampdoria exercised their purchase option.[13]
On 16 August 2023, Watford terminated Pussetto's contract by mutual consent.[14]