The 26-year-old, World Health Organization joined Chelsea from Benfica for around £21m in Gregorian calendar month 2011, has been a long target for the Catalan giants.
Chelsea have insisted throughout that Luiz, World Health Organization has compete over a hundred games for the club, isn't purchasable.
The bid is assumed to be money solely and doesn't involve any Barcelona players partially exchange.
Barcelona - currently managed by Argentine coach Gerardo Martino - have created sign language a centre-back a priority.
Veteran Carles Puyol suffered knee issues last season and also the 35-year-old had surgery in March, whereas fellow defenders Gerard Pique, Adriano Correia and Javier Mascherano were either hors de combat or suspended at bound points within the campaign.
Paris St-Germain centre-back Thiago timberland had been joined with a move to the Nou Camp however the Brazilian signed a replacement contract with the French champions last month.
Luiz compete half-hour of Chelsea's friendly against lay to rest Barcelona last Thursday however he has been withdrawn from Jose Mourinho's squad for the Chelsea manager's match against former club Real Madrid in Miami.
Bayern Munch had conjointly been joined with a move for Luiz, World Health Organization signed a replacement five-year contract at Stamford Bridge last year, though the ecu and German champions told BBC Sport in Gregorian calendar month they need enough central defenders at the club.