Only profligacy from the Italians and good goalkeeping from Igor Akinfeev prevented Inter increasing their lead.
Fabregas' perfect ball found Silva inside the area, who fired past Akinfeev to start the fiesta for the Spanish fans.
The Republic attempted to rally as Doyle tested Akinfeev and Keane then almost found the Wolves striker after a promising move.
Wales were still showing their teeth on the counter and Joe Ledley was unfortunate he could only direct a header at Akinfeev after good work from Ricketts.
Pandev produced a neat piece of trickery to beat two defenders in the box only for a superb one-handed save from Akinfeev to palm the shot away.
The Republic tried to lift themselves after the break and Russian keeper Akinfeev denied McGeady after Keane had tried to burrow his way into the penalty area.
Incredibly, there was only a goal between the sides six minutes later as substitute Long stabbed home from close range after Akinfeev had parried McGeady's point-blank effort.
Unfortunately for John Toshack's side the big defender, who had stayed up after a corner, was unable to get much power on his back-post header and Russia goalkeeper Igor Akinfeev collected comfortably.
In the space of two minutes after the hour, both Samuel Eto'o and Pandev tested Akinfeev before Milito struck with a superbly driven low-shot from 18 yards into the corner of the goal.
After Aiden McGeady's initial shot was bumbled by keeper Igor Akinfeev, Keane's angled cross bounced back off the crossbar and the ball then pin-balled back to McGeady who drove across the face of goal.
Dutchman Sneidjer scored the only goal of the game in the sixth minute when his low-free-kick deceived goalkeeper Igor Akinfeev after his defensive wall jumped in unison -- allowing the shot to go underneath them.
Guiza came on to replace Torres, and the move proved an inspired one as the substitute made it 2-0 in the 72nd minute when he lobbed Akinfeev after being played through by a delightful Fabregas pass.
Van Nistelrooy was generally kept quiet in the first half but his sharp turn and shot from the right had to be neatly saved by Igor Akinfeev while Kolodin nearly handed the Dutch the opener near half-time as his sloppy pass found van der Vaart who shot straight at the Russian keeper.
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