I downloaded it off ares, and its called paganini adagio by yngwie, its just him kinda jamming. He plays it live a lot but I'm wondering if he ever did it in a studio because I cant find it on any of his cds. Is it actually named paganini adagio or is the name on Ares wrong?
I'm pretty sure it's just called Adagio. The only album I know of that it's on is his concerto suite for electric guitar where he plays with an orchestra.

Of course, Adagio just means at a very slow tempo (I think) so if we're going by classical music rules there could be multiple Adagio Tempo'd pieces by Yngwie all just titled Adagio... who knows....