The midfielders both played full shifts - Tonali in Italy's 4-1 win against Turkey in Bursa, Bergvall in Sweden's 3-1 victory against Poland in Solna.
Sandro played his part in Italy's fourth goal, his curling effort from the edge of the box struck the post and Pio Esposito headed home the rebound.
The Azzurri earlier sailed into a 3-0 lead inside the first 30 minutes of the League A, Group A1 encounter with goals from Alessandro Bastoni, Davide Frattesi and Michael Kayode. Guglielmo Vicario was an unused substitute.
In League B, Group B4, goals from Benjamin Nygren, Yasin Ayari and Viktor Gyokeres saw Sweden home against Poland.
Elsewhere, Jamie Donley played 70 minutes as Northern Ireland drew 0-0 against Hungary in League B, Group B2 in Belfast.
Tuesday's action