Ashley Young, who recently signed from Manchester United, made his debut while Borja Valero and Alessandro Bastoni were also given starts by manager Antonio Conte.
Inter were forced to make a change as early as the 16th minute with defender Milan Skriniar removed following an illness while Diego Godin was brought on as the replacement for the Slovakian.
Alessio Cragno justified his inclusion in goal for the visitors when he got down to plunge Lautaro Martinez's one-on-one shot at the midway point for a corner.
Inter managed to hit the front when Martinez rose in the area to turn home Young's inch-perfect cross in the 29th minute.
Paolo Farago almost put the visitors level, but Samir Handanovic outstretched hand palmed the Italian's far post header to safety –bringing the half to a halt.
Romelu Lukaku looked to give Inter a further cushion soon after halftime, but fired into the side-netting after working space in the area.
Just after the hour mark, Handanovic showed strong reflexes yet again as he palmed Luca Pellegrini's cross-cum shot behind for a corner..
The Nerazzurri surrendered their advantage in the final 12 minutes after Nainggolan - on loan from Inter - saw his shot from range deflect off Bastoni and in off the far post.
Lukaku should've put the hosts back in front in the final 10 minuts when he ran at the defence but he dragged his effort wide of the mar.
Inter finished the encounter with a man down after Martinez got a second yellow for an off-the-ball incident as the sides settled for a share of the spoils.