The 20-year-old scored in three of his country's four games in the tournament and also successfully converted his spot-kick in the penalty shootout that ultimately eliminated Argentina at the hands of Mali.
Gaich is also wanted by Genoa according to Marca in Argentina, with his agent Pablo Cairo saying:
“ We spoke with clubs in Italy. The Everton issue isn't clear yet. The truth is that Gaich is on the list of many clubs, but still nothing concrete. Looking to the future, one would like him to go through the European market."
Just like his Argentina U20 team-mate Santiago Sosa who was said to be close to signing for the Blues but now appears to have been denied a work permit, Gaich can leave for €15m but would face a similar obstacle in terms of getting authorisation to play in England.