I learned this tune a long while back and do not remember it's name or the entire piece. I've recorded what I remembered and was hoping if someone knows it and can tell me it's name. You can listen to my recording here: https://clyp.it/5le1asu0
It's a study from Ferdinando Carulli, from opus 241 (Ecole de Guitare). Don't know exactly where it appears in the original, but you might find it here, if you're willing to do some searching.
And, fwiw, I find it a lovely piece. Delicate, simple, easy, without any frills. Just plain pretty, beautiful. I'm not a big Carulli fan, but he had his moments.