Simone Inzaghi called the changes of the European outing on his side, whereby only Yann Bisseck and Alessandro Bastoni keep their place in the starting XI.
And despite an early interruption due to an incident in the crowd, the Nerazzurri continued where they had gone by opening the score within 15 minutes.
Nicola Zalewski was the man to get it, brilliantly to avert his marker before he curled beautifully in the bottom corner for his first goal in inter -colors.
Matteo Darmian should have double the visit of the visitors after he was fed by Bisseck, but his quirky shot allowed Torino to keep the shortage on one.
All home fans had to cheer the sound of thunder when heaven opened in Turin, with circumstances that deteriorate so much that the game was temporarily stopped before the break.
The pitch searched with water meant that Torino resorted to air strikes as soon as the game resumed, and that almost dividends paid when Che Adams met the cross of Cristiano Biraghi, but stand-in inter-goalkeeper Josep Martinez made a wonderful salvation on his right side.
The break was extended when the referee carried out a pitch inspection, but the internal wasted not time when the game eventually started again.
Within two minutes after the restart, Mehdi Taremi was in the area in the area by Vanja Milinkovic-Savic, allowing Kristjan Asllani to go home from the penalty spot.
The Serbian stop was busy again shortly thereafter to deny Federico Dimarco before he made a double salvation to thwart Joaquin Correa and Hakan Calhanoglu.
Moments of fear were little in between for Inter in the final phase, but one arrived when Nikola Vlasic's shot took a bad deflection on its way along the post.
Correa forced two more rescues from Milinkovic-Savic in the final phase, while Adam Masina had excluded an effort for the hosts.
Inter is comfortable to register for only a second in eight of such competitions. They remain in the middle of the title race, while Torino's hope for a fourth consecutive top half decreases finish after a first defeat of the Home League of 2025.
Flash score Man of the match: Nicola Zalewski (Inter Milan)
View all match statistics with flash score.