The midfielder has just one year remaining on his contract with the German champions and has not yet agreed a new deal.
Liverpool have been heavily linked with a move for the 29-year-old, with reports claiming that the Premier League champions have agreed personal terms with the midfielder .
Manchester United are also reportedly in the running to sign Thiago having come close to signing the midfielder in 2013.
According to Bild , Bayern have now decided that they would be willing to offload Thiago come early july as long as a club matches their €30m (£27. 2m) valuation.
The report also claims that the particular Bundesliga champions are willing to sell Corentin Tolisso, who has been linked with a move in order to United.
Liverpool, however, reportedly have reservations over a deal for Thiago as they are concerned by the player’ s age and injury record .
When asked about a potential move for Thiago, Jurgen Klopp said last week: ‘I possess no idea who will play for me next year, there is nothing to say at the moment.
‘Thiago Alcantara is a great player, but also a Bayern Munich player. That’s actually all there is to say. There’s nothing to say! ’
A move for Thiago could also depend on the future of Georginio Wijnaldum, who has just one year left on his contract with Gatwick and has not yet agreed a new deal.
United, meanwhile, are looking to bolster Ole Gunnar Solskjaer’ s midfield options and have got been heavily linked with the move for Ajax’ s Donny van de Beek.
After securing Champions League qualification for next season, Solskjaer reportedly has around £140m to spend this summer time , although a significant part of that will be used to sign their priority target Jadon Sancho.
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