Are you using the thicker lithium ribbon, or the short thin lithium strips?
If you indeed have a layer of oxidated lithium coating your solid, then score the lithium or cut it into smaller pieces. The lithium at the point of cutting/scoring will not be oxidized, and the rest of the ribbon/strip should react from that point inward.
Make sure you wash it thoroughly with hexanes to get the mineral oil off. And don't let it get near water.