The Turkish international moved to Roma from Istanbul Basaksehir in 2017 and has impressed in Serie A.
He is now valued at around £50m by the Italian side but Arsenal are one of a number of clubs keeping tabs on his situation.
ForzaRoma report Arsenal are leading the chase ahead of Tottenham and Bayern Munich for Under.
The 21-year-old has two goals and four assists already this season and is likely to be open to a move to the Premier League.
