Well you don't want to sign mediocre players. You would need to sign the best Italian players. Like you wouldn't put Sturaro in the team for simply being Italian. Basically: What I'm saying is look domestically first, and then if there isn't a player with the characteristics you'd like, look internationally.
For example:
We want a striker: Look at Belotti, if this is impossible, you don't look to Immobile, you look internationally.
We want a winger: Look at Bernardeschi, if this is impossible, you don't look to Stephan El Shaarawy, you look internationally.
We want an AM/Secondary Striker: Look at Insigne, if this is impossible, you don't look to Saponara, you look internationally.
We want a CM: Look to Verratti, if this is impossible, you don't look to Marco Parolo, you look internationally.
We want a CB: Look to Romagnoli, if impossible, don't get Tonelli, look internationally.
We want a fullback: Look to Florenzi, if impossible, don't get Santon, look internationally.
Goalkeeper: Donnarumma, if impossible, don't get Sportiello, look internationally.
You want young talent to come off the bench: Look at Pellegrini/Gagliardini, don't sign another Sturaro, look internationally.