The striker, who scored his first Wolves goal against Chelsea and played a key role in Sunday’s victory over Manchester City, faces two European under-21 Championship qualifying matches.
The Italians take on the Republic of Ireland in Dublin on Thursday, before Cutrone returns to Yerevan, the city where he made his Wolves debut, to face Armenia on Monday.
Once again, Rui Patricio, Ruben Neves and Joao Moutinho have departed to link up with the Portugal senior squad in Euro 2020 qualifying action this weekend.
The trio first head Lisbon to take on Luxembourg this Friday, before travelling to Kiev, where they’ll face Ukraine on Monday.
Matt Doherty is also back in the Republic of Ireland squad, after missing the September internationals through injury.
The wing-back, under former Wolves boss Mick McCarthy, faces trips to Georgia on Saturday and Switzerland the following Tuesday.
Likewise, Leander Dendoncker has two Euro 2020 qualifying matches ahead, as part of a Belgium squad who have a perfect record from their six fixtures so far.
Their next challenges come from San Marino in Brussels on Thursday and Kazakhstan away from home on Sunday.
Finally, Ruben Vinagre links up with Portugal under-21s and will take on Netherlands at De Vijverberg Stadium in Doetinchem on Monday.