Rigamonti made his professional debut on 26 September 2009 in a Primera B Nacional game with Instituto, he was subbed on for the final eight minutes after Juan Carlos Olave received a red card.[1] He got his first start in the following match, a 2–2 draw with Defensa y Justicia.[1] Ten further appearances followed between October 2009 and June 2013, prior to Rigamonti leaving Belgrano, now of the Argentine Primera División, on a temporary basis to join Sportivo Belgrano.[2] He went onto play forty-one times for the club in Primera B Nacional.[1]
In July 2014, Rigamonti agreed to sign for Banfield on loan.[3] He failed to make an appearance throughout the 2014 campaign, but was on the bench for thirteen fixtures in all competitions.[1] After zero appearances for Banfield, Rigamonti joined Sarmiento on loan shortly after arriving back with Belgrano.[1] His debut for Sarmiento came on 15 February 2015 in a 1–4 defeat at home to River Plate.[1] In total, Rigamonti made thirty appearances as Sarmiento finished 24th.[1] He returned to Belgrano for the 2016 season but didn't make an appearance.[1]
Ahead of the 2016–17 Argentine Primera División season, Rigamonti made a loan move to Quilmes.[4] He went onto play in all thirty of Quilmes' league fixtures, in a campaign that ended in relegation to Primera B Nacional.[1] On 3 August 2017, Rigamonti was loaned out for the fifth time as he joined Vélez Sarsfield.[5][6]