Pugliese is a product of the Platense academy.[3] He made the move into senior football in 2017–18 under Fernando Ruiz, who selected Pugliese for his professional debut in November 2017.[2][4] He was substituted on at the interval of a Primera B Metropolitana match with Comunicaciones, going on to score the club's only goal in a 1–1 draw.[2] Another goal followed on 13 April 2018 versus Barracas Central, as he ended the season with six appearances, all of which off the bench, as Platense won the league title.[2][5][6] His first start arrived in September against Deportivo Morón in Primera B Nacional.[2]
In February 2021, Pugliese was loaned out to Estudiantes de Buenos Aires until the end of 2021.[7] However, the loan spell was cut short, as Platense announced on 29 July 2021, that Pugliese had moved to Club Atlético Mitre instead, once again on a loan deal until the end of 2021.[8] Ahead of the 2022 season, he was sent out on a new loan spell, this time to San Telmo.[9]