Can iTunes Match supply missing Metadata for Matched Items?

I recently did a somewhat sloppy job of importing all of my old music into my iTunes library, after which I signed up for iTunes Match. I let it run for quite a long while, and eventually came up with about 2/3 of my songs finding matches. But now I am finding a conundrum.

I apparently have a lot of songs that are missing metadata. ALL metadata. I can't find any id3 tags associated with them. Just a title. In my old system, they were lovingly arranged into folders that identified their artists and albums. Now they are just all lumped into Unknown Artist/Unknown Album. Even if I wanted to go around and google all 1518 of these matched but unknown items, I don't think I'll have much luck with tracks that are just called "01 Intro" or "IV Allegro."

But iTunes Match managed to find them because their status is "Matched." So I may not know what they are... but clearly iTunes does.

So, the question: How do I get iTunes to share that information with me? Can I force iTunes match to update the metadata on my local files or local library?