The Cameroonian midfielder made the move to the Camp Nou from Arsenal in the summer of 2012, but is yet to replicate his best form.
According to Sport, Barcelona are contemplating letting Song leave in January and will look to recover as much of the €19 million they paid for the Arsenal man. And according to the newspaper, Manchester United may well be the team to take him off the Catalan giants' hands.
The Red Devils had a disastrous summer transfer window and missed out on a host of midfield targets, including the likes of Song's Barcelona team-mate Cesc Fabregas, Thiago Alcantara, Sami Khedira and Ander Herrera.
Now it appears as though they are looking to sort their business out early - however the Old Trafford-based club could face competition from AC Milan for the 26-year-old - who reportedly had offers to leave in the summer.
Whether Song would be open to a move to Manchester United, either in January or in the summer, remains to be seen as he continues to battle for a place in Barcelona's illustrious midfield.