Unión Santa Fe signed Blasi in 2007.[3] His senior career began with them in 2015, first appearing in the squad in November when he was an unused substitute versus Estudiantes.[2][4] His debut arrived on 20 May 2017, he played the full duration of a home defeat to Arsenal de Sarandí in the Argentine Primera División.[2][5] He made five appearances during 2016–17, the last arriving on 25 June against Boca Juniors; he scored his first senior goal in the process.[2]