Barcelona are open to offers for the 27-year-old as Ronald Koeman looks to recoup some funds.
The Catalan giants have been struck hard in the pocket and must sell players in order to bring some in.
Koeman has several stars on his wish list, including Dutch pair Memphis Depay and Georginio Wijnaldum.
Luis Suarez is already on his way out to accommodate the pending arrival of Depay while Barca's midfield is already stacked.
Rafinha would be further marginalised after returning from loan at Celta Vigo.
The playmaker is happy to consider a move to Elland Road - but because of his brother.
Thiago, who plays his international football with Spain, has been hotly touted for a transfer to Liverpool.
The Bayern Munich star is keen on a new challenge after six years in the Bundesliga.
His contract expires next summer and the Champions League winners would rather let him go rather than lose him for nothing.
And Liverpool is Thiago's preferred destination with Jurgen Klopp is a huge fan of the midfielder.
However, there have been problems in terms of an asking price with Bayern demanding £27m for the 29-year-old.
So far, the Reds are not keen on that number - knowing they can land him for nothing if they wait until next summer.
If a move is sorted out this summer, it could see the Alcantara brothers reunited in England with Rafinha garnering interest from Leeds.
The Brazilian is close pals with United's latest signing Rodrigo, who joined from Valencia this summer.
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Marcelo Bielsa is planning a method for the Whites to stay in the Premier League.
It comes after winning the Championship and ending their top-flight exile that lasted 16 years.
There are still plans to sign Rodrigo de Paul from Udinese as well as Croatia Under-21 international Josko Gvardiol.