Cordaz was previously part of the Nerazzurri's Youth Sector, winning the Primavera Scudetto and the Viareggio Cup across three seasons. He's now signed a contract lasting until 30 June 2022.
He told the club's website: "It's a great feeling and I'm really proud. I hope to make my contribution.
"It was a blast from the past; it's all been a bit strange. It only sunk in after a few days and then it gave me great pride and joy.
"I expect to give a big hand to the team and to Inter."
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