Müller started his footballing career with Los Toritos, prior to joining Banfield's system in 2008. Years later, Huracán signed Müller following a successful trial. He was promoted into the first-team of Huracán during the 2016 Argentine Primera División season, subsequently making his professional debut against Unión Santa Fe on 13 May. In 2018, having only appeared once more since his club bow, Müller was loaned out to Primera B Metropolitana's Sacachispas on 9 January. He was selected seventeen times during 2017–18. In total, Müller played fifty-two times whilst also netting his first senior goal - against Comunicaciones.
