Career
Báez came through Argentina"s youth structures, representing the Pumas Under 19 team in 2008 and the Under 20 side a year later at the 2009 Institutional Review Board Junior World Championship. He debuted for Los Pumas in May 2011 against Chile and capped his debut with a try in a comfortable victory for his side. In August 2014, he was named in the squad for the 2014 Rugby Championship and made his first championship appearance as a substitute in a 9-28 loss to New Zealand on 6 September 2014.
Báez is signed to play for Jaguares until 2017.