It seems like we will be getting Sniper Elite 3 in 2014. The game will arrive on the Xbox 360, PS3 and next-gen platforms too.
This was made public while a company representative of 505 Studios spoke to Joystiq:
We were hoping the news would remain quiet within the Italian financial community until we could formally announce the game which we plan to do soon.
Sniper Elite 3 was first spotted on a financial press release released by 505 Studios parent company, Digital Bros. Here is a pdf of that financial press release for those who are interested.
One thing to note here is the absence of PC as a platform for Sniper Elite 3. Both Sniper Elite 1 and 2 were released on the PC.
We will have more information on this as it becomes available.