The cheese you want isn't the parm in the can, it's in the deli refrigerated section. Same with the asiago. Or you buy a chunk and grate it. I grate my own, and it is less expensive this way. I buy more than I am going to use and vacume seal the 'chunk' for later. Really does make such a difference.
But I personally don't recommend a substitute for asiago cheese for this recipe.


