The player himself admitted that there was interest from Barcelona in the summer, but that a move to La Liga was turned down ahead of the new season.
However, reports now suggest that Chelsea boss Jose Mourinho is willing to sell Luiz, having established Gary Cahill and John Terry as his regular centre-back pairing in the Premier League.
It is thought that Mourinho considers David Luiz to be too much of a liability, having only allowed the Brazilian defender to make five Premier League appearances this term.
Since the start of November, Luiz has appeared on just one occasion for the Blues - a 2-0 defeat against Alan Pardew's Newcastle United side.
David Luiz is believed to be ready to make a move to ensure that he secures a place is Luiz Felipe Scolari's twenty-three man Brazil squad ahead of the 2014 World Cup in his home nation.
Barcelona manager Gerardo Martino is keen to add to his defensive options, as questions to his side's defensive capabilities persist. A 2-1 defeat to Ajax in midweek has only added more cause for concern.
With captain Carles Puyol's questionable injury record, Martino is expected to introduce fresh blood to ensure that his side do not fall foul to a lack of strength and depth in the defensive department.
Mourinho continues to be linked with a move for Sergio Ramos, a stalwart of his former Real Madrid side.
But any move is dependent on the sale of Luiz, who is contracted to the Blues until the summer of 2017.
image: © thearcticblues