The former Palermo and Napoli striker joined United on a one-year contract after leaving Paris Saint Germain last summer.
Cavani has made 25 appearances for Ole Gunnar Solskjaer’s side this season, scoring seven goals but has been hampered by injury problems recently.
Solskjaer is keen for Cavani to extend his stay in the red half of Manchester beyond this season but the player’s father, Luis, says his son has a desire to return to South America, preferably Argentina’s Boca Juniors.
"There's a 60 per cent chance of Edinson coming to South America. We're very excited," Luis told Argentinian broadcaster TYC Sports.
"We've always gone to visit him and he's played in some beautiful cities where he's been made to feel very welcome. He's really endeared himself to everyone and has made friendships.
"But he doesn't feel comfortable where he is at the moment. He's been thinking about being closer to his family for over two years now and that's the reason why I think Edi will end up playing for a club in South America. I'd like him to join a team that has a chance of winning something. Here in Uruguay there's no chance of that happening.
"We've spoken to Edinson and he's always leant towards Boca Juniors because he's had so many conversations with (manager Juan Roman) Riquelme about it. I know he'd like to play and be nearer to his home country so that we can all be in closer proximity.
"When a player is already thinking that they want to come back from Europe, it goes against their performance level, but there are a range of factors. I think you have to love your football and find the place where you feel comfortable. I think Boca might be the place where Edinson finishes his career and feels comfortable.
"Knowing Edi, based on what we've spoken about and everything he's discussed with Riquelme, he's leaning towards Boca. I think he'll come back halfway through the year. He has to sit down with his current club and reach an agreement if they want him to stay or if Edinson withdraws his contract to come here."
Earlier this season, Cavani was handed a three-game ban by the FA and fined £100,000 for what was deemed a racially offensive social media post and the situation, according to Luis, could account for his son’s desire to leave England.
Luis continued: "He's set on coming back because there are things that sometimes annoy you as a human, such as what happened to him, with the three-game suspension over nonsense. We always use that word over here. We aren't racist. That did have a bearing on the decision.
"The talks between Edinson and Riquelme have certainly started because they are a competitive team. I think he is (excited about playing with Carlos Tevez). If you'd said that to me two years ago, I wouldn't have said so, given the way he came back from China, but he worked hard upon his return and experienced a rebirth. I know he's a top player.
"I can imagine Edinson celebrating goals with the fans. We know what the Boca supporters are all about and that goes for Argentine football in general. I can see him scoring goals in front of all the fans. The only thing I want is for him to be happy. I always look to ensure my son is happy."
