The Serbians threatened early on and hit the upright with a header after 6 minutes. 3 minutes later goalkeeper Jákup Mikkelsen diverted a shot from 25 metres around the post.
Although Serbia had most of the possession, the Faroese defence seemed content with soaking up the pressure the Serbians had as they seemed ineffective in front of goal.
And indeed, Serbia needed help from a Faroese owngoal to take the lead when central defender Jón Rói Jacobsen, challenged by a Serbian forward, headed the ball into the back of the net of his own goal.
The 2nd half followed a similar pattern as the 1st; Serbia with a lot of possession, but if the final delivery into the box did not lack quality, the finishing did.
10 minutes from time Faroese right back Jónas Tór Næs was sent off for his 2nd bookable offence.
After 88 minutes, Serbia doubled their lead when Nicola Zigic's header from from a corner sneaked in between the diving goalkeeper and the defender at the post.
The Faroe Islands were rare guests around the Serbian goal and created no scoring opportunity worth writing home about.
Video of goals, Serbia vs. Faroe Islands (low quality)
On Wednesday, the Faroe Islands take on Rumania who crashed to a 3-0 defeat against Lithuania at home.