The French Under-21 international is attracting plenty of interest at the moment.
Goal are claiming that Villa are also keeping tabs on the Lille talent and have opened up discussions with the French side regarding his potential transfer.
The 19-year-old made his breakthrough for the Lille first-team in January but has not been a regular in the Lille first-team this season. The tall defender can also play at centre-back and left-back so would be a versatile and talented option if snapped up by Remi Garde.
A French under-21 international he would be a risky buy from Villa if they were to count on him for Premier League survival.
West Ham were linked with a move for the player by Mercato 365 last month.
If Villa did get hold of Pavard it would be yet another recruit from Ligue 1. Villa brought in the likes of Jordan Ayew, Jordan Veretout, Jordan Amavi and Idrissa Gueye from French football in the summer - with mixed results so far.