Sosa is a youth academy graduate of Nacional. He made his professional debut for the club on 7 April 2021 in the second leg of 2020 Championship playoff final against Rentistas.[2][3] Four days later, on 11 April, he joined Rentistas on a season long loan deal.[4] He joined Liverpool Montevideo on a season long loan deal in February 2022.[5]
On 17 August 2022, Sosa signed with Bologna in Italy.[6] On 4 September 2023, he joined Dinamo Zagreb on a season long deal with a buy-out option.[7]