ESPN says Rojo has agreed a deal to join Boca Juniors.
Rojo appears to have no future at United under Ole Gunnar Solskjaer, and has been linked with a January move.
He has verbally agreed a two-year deal to head back to his native Argentina.
However, the report claims they want to sign him for free, meaning he must persuade United to let tear up his contract, or wait until his Old Trafford deal expires at the end of this season.
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