  We investigate germs of real analytic Levi-flat hypersurfaces tangent to
germs of codimension one holomorphic webs. We introduce the notion of first
integrals for local webs. In particular, we prove that a $k$-web with finitely
many invariant analytic subvarieties through the origin tangent to a Levi-flat
hypersurface has a holomorphic first integral.
