The 28-year-old played an integral part in Diego Simeone's side in the 2013-14 season as Los Rojiblancos completed a dramatic final day Liga title triumph and finished runners-up in the Champions league after losing the final to Real Madrid.
|9/4||Chelsea are 9/4 with Paddy Power to win the Premier League in 2013/14|
"The interest is there, but Atletico don't want to sell," said Quilon when asked about the Blues’ interest.
"They want to keep every player they can for next season. Then, we'll see what's happening with different players, but Atletico don't have any intention to sell anyone."
Luis has spent the last four year at the Vicente Claderon after moving from Deportivo, and is currently on Brazil's standby list for this summer's World Cup.
Jose Mourinho is looking for a left-back after letting Ashley Cole leave the club on a free transfer, having played Cesar Azpilicueta - a natural right-back - there for much of last season.
Atletico conceded just 28 goals in 36 games on their way to the Spanish title, and Luis' experience and physical presence would fit the mould of Mourinho's recent signings.
Luke Shaw is also a target for the Blues, but it has been revealed that Manchester United are favourites to sign the Southampton starlet due to both Chelsea and Manchester City having to rein in their spending in light of Uefa's Financial Fair Play regualations.