Roma are prepared to offer either Cengiz Under or Amadou Diawara to Arsenal as part of the deal for Granit Xhaka.
Jose Mourinho has specifically requested the Swiss international and hopes to get the agreement done before Euro 2020.
An initial €15m proposal has already been rejected, as Arsenal are holding out for at least €20m.
According to Calciomercato.com, the Giallorossi could add a player as part of the deal to bring the price down.
The options to be proposed are midfielder Diawara and Turkey international Under.
Cengiz Under returned to the Stadio Olimpico after Leicester City opted not to take up their purchase option following a disappointing loan spell in the Premier League.