Boghossian is currently on loan at Newell’s Old Boys from Uruguayan side Atletico Cerro, but the Argentine side have the option to sign him in a €4million deal.
Villa could decide to make a summer move for the highly-rated striker, but are expected to face competition.
Sampdoria, Bayer Leverkusen and Roma are also reportedly keeping tabs on the 22-year-old striker.