The Belgium international, reports HLN, is the subject of an approach from Villa.
Villa boss Dean Smith has been watching Engels since his time with Club Brugge.
Engels has long admitted an ambition to play in England.
While with Reims, Engels admitted hopes of one day playing for Arsenal: "I've been there a couple of times in the past, maybe next time is the right one. Arsenal? It would be a dream. But playing in England, it would be already top."