Fiorentina has signed defender
The 28-year-old Argentine centre-back will join team-mate
"Villarreal and Fiorentina have reached an agreement for the transfer of Argentinian defender
"Midfielder Borja Valero has successfully passed the medical examination and signed his contract with the Tuscan club, so he is officially a Fiorentina player too."
Rodriguez started his career with San Lorenzo before joining Villarreal in the summer of 2004 and going on to make 246 appearances for the club.
The 27-year-old Spaniard Valero, who started his career at Real Madrid, joined in the 2010-2011 season from West Brom.
Rodriguez, who has made seven international appearances said: "Everything went very fast and my signing with Fiorentina was closed in no time, but Villarreal is my home and I want to say goodbye as it deserves.
"There were eight precious years in which I have experienced many things in this club, so I promise to return next week to say goodbye."
Brazilian striker Barreto will remain at Torino for the 2013-2014 season after the Serie A club renewed its co-ownership arrangement with Udinese.