Inter managed to maintain their 100 % winning run in this early stage of Italian Serie A after they grabbed all three points against their city rival, AC Milan last Sunday.
It was an exciting Derby with both teams making heavy reinforcement in the summer transfer window.
Rossoneri looked more dangerous in the first 45 minutes as they created several good goal scoring chances which they couldn't finish.
That missed opportunities during the first 45 minutes eventually cost Milan as in the second period a quick counter attacking play put Freddy Guarin in an acre of space to shot.
The Colombian did made a fine long range effort which beat Milan's Spanish goal keeper, Diego Lopez on 58 minutes.