After eight years at Paris Saint-Germain, the centre-back is available on a free transfer this summer, inevitably resulting in widespread interest in his signature.
However, the 35-year-old is said to hold an interest in moving to the Premier League, resulting in Arsenal emerging as a potential destination for the veteran.
According to Le 10 Sport, Mikel Arteta has already held talks with the Brazilian in a bid to win the race for his services.
Nevertheless, the Arsenal boss and club officials want Luiz, a former PSG and international teammate of Silva, to play a part in negotiations.
Despite speculation over his future, Luiz will spend another season in North London after penning a contract extension.