The La Liga champions had been eyeing a move for PSG centre back Thiago Silva but the French club are not willing to open discussions over the player leaving the Catalan club to opt for their second choice in Luiz.
The versatile Brazilian has been hit and miss in his time in West London so far and Jose Mourinho is set to allow the 26 year old to speak with Barcelona should their bid be acceptable.
It is thought that Chelsea will accept an offer of around £25million for Luiz as Mourinho looks to shape his own side at Stamford Bridge once again.
Barcelona are desperate to land new defensive options with Eric Abidal being released and Carlos Puyol consistently struggling for fitness they have had to use makeshift centre backs throughout last season including former Arsenal midfielder Alex Song and ex-Liverpool holding player Javier Mascherano.
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