The Midlands club are continuing to target players from the Spanish La Liga due to the connection of boss Unai Emery.
Per Fichajes in Spain, Emery will push Villa to secure an agreement for Le Normand.
The talented defender has become a mainstay in the La Real team since arriving from Brest in 2018.
He spent two years with the La Liga side's B Team, but is now a regular starter for the first team.
Villa want to secure a defender to replace long-term injured center back Tyrone Mings.