The striker is said to have asked for extra time to discuss his future in the past six weeks, after his father Luis revealed that his son wanted to return closer to home at the end of the season.
Due to travel restrictions, Cavani’s family have been unable to travel to England and the forward has been isolated.
Nonetheless, his impact on the field for United has been undeniable since he scored his first goal in the 3-1 win at Everton in November.
Ole Gunnar Solskjaer has been desperate to convince Cavani to stay for an additional season.
He initially signed a one-year contract following his arrival on a free transfer last October but United have the option to add a further year to his deal.
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But now, Argentine outlet Depo claim Cavani has now informed United that he wishes to return to South America.
The 34-year-old currently has a two-year deal on the table from Boca Juniors.
Should he agree to move to La Bombonera, Cavani will still be able to compete for titles while being closer to his family.
Talks with Boca chief Riquelme reportedly started at the beginning of the year in private.
Cavani was left upset after he was handed a three-match ban by the Football Association and fined £100,000 for using the word ‘negrito’ in an Instagram post.
Two weeks ago, Solskjaer admitted he was still optimistic that Cavani would stay, despite speculation that he was set to depart after less than a year at the club.
“I’ve kept in touch with Edi of course,” the Norwegian said. “We keep an open dialogue and he’s still unsure what he wants to do next season, which I find fine.
“It’s not been an easy year either for him or the rest of the world, this season, so he still wants time to make his mind up.
“I’m very sure we will get the good version of Edinson for the rest of the season. He knows this is the business end of the season, where we fight for the Europa League trophy and we can see the end line in the league.
“There are only eight games left and you’re thinking about where you’re going to end up.
“He’s been so positive in and around the place, he’s been great to have. He’s been working hard now to get fit and we’ve got him. Now hopefully we can keep him fit for the next six or seven weeks.”
Solskjaer and United will now have to begin the search for a new No 9 with Eintracht Frankfurt’s Andre Silva amongst realistic options.