Cirigliano made his first team debut for
River Plate on April 11, 2010, in a 0–0 away draw with
Atlético Tucumán. At 18, he started the game against Atlético alongside 36-year-old
Matías Almeyda in midfield. A tough tackling midfielder who is useful on the ball, Cirigliano has been likened to a cross between
Xavi and
Javier Mascherano. On July 18, 2013, Cirigliano joined the newly promoted
Serie A club
Hellas Verona on a loan deal. On the first days of July, 2014, Cirigliano returns to
River Plate coming back from his loan and attends practice. He refuses to travel to the pre-season in an attempt to negotiate a definitive transfer to
Hellas Verona, which subsequently fails. Therefore, coach
Marcelo Gallardo separates him from the rest of the squad. On September 10, 2014, after being pardoned by the director, Cirigliano starts practice with River Plate's reserve team in order to re-join the squad and be able to play again. On July 20, 2015,
FC Dallas announced the deal has been reached to take the player on-loan from
River Plate. Per league policy, terms were not revealed, though the club will be using their
Target Allocation Money to help fund the loan-deal. He was released by Dallas in January 2016 and signed on loan by Club Atlético Tigre, resigning contract in May 2016. On July 12, 2017, Cirigliano signed with
Zacatepec. ==International career==