Aguirre started out in the youth of River Plate, appearing at the 2012 U-20 Copa Libertadores by making five appearances and scoring once as they won the competition.[1] In July 2013, Aguirre joined Defensores de Belgrano on loan.[1][3] He made his professional debut on 13 August 2013 during a goalless draw with Los Andes, prior to netting his first goal in his next appearance against Villa Dálmine on 10 September as they suffered eventual relegation to Primera C Metropolitana.[1] He returned to River Plate in June 2014, before departing permanently to Defensores de Belgrano in the following January.[1][4]
After four seasons back with Defensores de Belgrano, with Aguirre having scored sixteen goals across one hundred and eight fixtures in the process, they won promotion in 2017–18 to Primera B Nacional.[1] His first goal in the second tier came in a one-nil win over Santamarina on 16 September 2018.[1][5] Aguirre left the club at the end of the 2020 season, having made one hundred and forty-seven appearances and scored twenty-six goals in six years as a permanent player.[1] February 2021 saw Aguirre head abroad to Honduras to join Olimpia.[6] He scored his first goal on 11 March versus Real de Minas.[1]