Manchester United midfielder Anderson would consider a return to Gremio if the Red Devils terminate his contract in January.
Speaking to Rádio Bandeirantes, the former Brazil international, who looks certain to leave Old Trafford in the New Year, admitted that a return to his first club would appeal as it would allow him to be close to his family once again.
"There's always the possibility of returning to Grêmio. It's my home and I still support them – everyone knows that,” the former Porto star said. "It would allow me to be near my family. I've spoken to [Grêmio] before but it never reached the point of a [concrete] offer."
Anderson added: "I was close to moving before I went to Fiorentina. I was prepared to take a pay cut but the club didn't get back to me."
"I respect all clubs in Brazil. Grêmio had & still have a chance, but it's not all up to me. Internacional were also interested."
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Fiorentina move collapsed
Anderson was expected to complete a permanent move to Fiorentina in the summer following his loan spell with the Serie A outfit during the second-half of last season. However, due to a combination of his £60,000-a-week wages and his uninspiring performances, the Italian club opted against turned his loan deal into a permanent contract.
United boss Louis van Gaal surprisingly included Anderson in his 25-man Premier League squad at the start of the campaign, but has used him in just one league match this season - as a second-half substitute in the 0-0 draw with newly-promoted Burnley at Turf Moor in August.
Several days earlier he played the entire 90 minutes in Manchester United’s disastrous 4-0 defeat to League One side MK Dons in the Capital One Cup second round.
United to cancel Anderson's contract
It’s now transpired that Anderson, whose last appearance for the Red Devils came in a reserve team match in September, will be allowed to leave Old Trafford in January.
United are in the process of trying to find a buyer, but will terminate his contract if they fail, and will pay the player £1.4 million in compensation to end his current deal six months earlier than planned.
Anderson joined Manchester United in 2007, but has struggled to cement his status as a first-team regular during his seven years at Old Trafford.
And it looks increasingly likely that the South American has pulled on a Manchester United shirt for the final time.