The Brazilian international is wanted by the Camp Nou outfit as they look to bolster their defence.
Mundo Deportivo claim that Luiz wants the move and will press Chelsea to let him leave for Barcelona.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.