So, just to clarify, you are looking for a rifle to do target shooting out to 200 meters. In that case, let me agree that an ideal cartridge for the job would be a 223 Remington. Practically every manufacturer out there makes a bolt-action for that round, and they're pretty universally good. I'm not sure what to recommend since I'm not sure what you have available in Italy, but if you can get things usually available in the USA, then you might consider quite a few options. Take a look at:
1) CZ,
http://www.cz-usa.com
They offer their CZ527 model in a number of different patterns, and many of them are available in 223 Remington. Assuming you are going to use a scope, the 527 American is quite a shooter.
2) Beretta,
http://www.berettausa.com/shop-by-de...t.aspx?F_All=Y
In the USA, Beretta sells rifles made my Tikka that might fall into your price range, and are available in 223.
3) Savage,
http://www.savagearms.com/firearms/finder/
They make a number of different bolt actions, with widely varying prices, almost all available in 223 Remington. The cheap ones will not be as accurate as the more expensive ones, but will certainly go bang just fine.