Curve with shrink wrap modifier and then scale problem

Hi , i want to do a curve that has the shrink wrap modifier, but when i try to make it real it gets real it changes very much, is not like it was when it had the modifier, how can i make the curve real and have the same shape it had when it had the modifier.

Or is there another way to make a curve wrap to a mesh?

http://blenderartists.org/Users/tweakingknobsgiorgiomartini/Documents/curve_shrink.swf
http://blenderartists.org/Users/tweakingknobsgiorgiomartini/Documents/curve_shrink.swf