Peillat played for Club Ferrocarril Mitre in Argentina until the 2014 World Cup. After this tournament, he wanted to improve his play so he transferred to the Netherlands to play for HGC. During the 2014 Dutch winter break he played his first season in the Hockey India League for the Kalinga Lancers and in the 2015 Hockey India League played for the Uttar Pradesh Wizards. After he became topscorer in the 2015–16 Dutch hoofdklasse season with 33 goals, he transferred to German club Mannheimer HC. In the 2016 and 2017 German winterbreak he again played for the Uttar Pradesh Wizards in the 2016 and 2017 Hockey India League. In the 2018 winter break when there was no Hockey India League, he played in the Malaysia Hockey League for Terengganu Hockey Team. In April 2018 he renewed his contract for Mannheim for another three years until 2021.