split mesh with curve, the mesh get ruin seem fail to split
pattern curve in surface cant intersect with curve which intersect in mesh(curve from mest intersect)
Dropbox poser ring.3dmShared with Dropbox
not sure i understood you correct, i didnt find any curves in there but i assume you want to unite those 2. if you convert the polysurface to a mesh then i get some intersection curves. i have an old computer so you may try with a higher mesh setting then try boolean union once more. oh and you probably can use reduce mesh on that guy a little, its a really dense mesh, if this is a ring you might not need it that fine.
my figure 3d is from daz3d export, to *.obj (check options are: ignore invisible nodes, write uv coordinates, write normals, write object statements, write use existing groups write original maps surface)
and import to rhino checked groups, and import OBJ objects