A request involving the two sides and La Liga authorities have been submitted to the Royal Spanish Football Federation(RFEF) pending approval.
If their request is granted it will become the first La Liga game to be staged outside the shores of Spain with Miami Dolphins’ Hard Rock Stadium the venue for the match.
La Liga authorities tried moving Barcelona and Girona’s league fixture to Miami last season but the attempt was unsuccessful after the Royal Spanish Football Federation and the Players’ Union rejected it.
Media company Relevant, who are in charge of organising the annual International Champions Cup pre-season tournament signed a 15-year deal with La Liga last year, with one Spanish top flight game to be played in the US part of the agreement.
A statement posted to Villarreal's website read: "LaLiga, alongside Villarreal and Atletico Madrid, [on Thursday] presented an official request to the RFEF to play the match between Villarreal and Atletico Madrid, corresponding to LaLiga matchday 16, on December 6, 2019, at 10pm Spanish time (4pm local time) at the Hard Rock Stadium in Miami (Florida, United States).
"This request is part of LaLiga's international growth strategy. There are millions of LaLiga fans around the world. Bringing the clubs closer to these fans represents an important opportunity to connect with them and continue working for the global growth of LaLiga on a worldwide level.
"This international growth has a benefit for the clubs involved, as well as players, fans, LaLiga, Spanish football and Spain itself.
"The choice of teams is due to the interest and availability shown by both clubs. USA, and especially Miami, is an essential part of its growth strategies. Villarreal now have been working in the North American market for various years, through the presence of academies and different training and marketing activities.
"Atletico Madrid recently completed a successful summer tour of the US, where they also took part in the MLS All-Star match in Orlando (Florida).
"The players and coaching staff from both sides have been told about this and have shown enthusiasm in taking football to their fans in the US. Also the Spanish Footballers' Association (AFE) has been informed of the request."