Levi-flat filling of real two-spheres in symplectic manifolds (II)
  We consider a compact complex manifold with smooth Levi convex boundary and a tame symplectic form. Consider a real two-sphere with elliptic and hyperbolic complex points generically embedded to the boundary of manifold. We prove a result on filling of the sphere by a Levi-flat hypersurface. 
H. Gaussier and A. Sukhov
math.CV