Abstract: Superabrasive inserts are disclosed. More particularly, a superabrasive insert may comprise a superabrasive layer bonded to a substrate at an interface. Further, the superabrasive layer may include a central substantially planar surface, a peripheral side surface, and an arcuate peripheral surface extending between the central substantially planar surface and the peripheral side surface. In one embodiment, the arcuate peripheral surface may comprise a lateral extent and an extension depth, wherein a ratio of the lateral extent to the extension depth is at least about 1.5. In another embodiment, an arcuate peripheral surface may comprise a substantially circular arc, wherein the substantially planar surface is tangent to the substantially circular arc and a tangent reference line to the substantially circular arc forms an angle of at least about 10° with the peripheral side surface. Subterranean drilling tools (e.g., drill bits) including at least one superabrasive insert are disclosed.