  Using functional renormalization group method, we study the favorable
condition for electronic correlation driven time reversal invariant topological
superconductivity in symmetry class DIII. For non-centrosymmetric systems we
argue that the proximity to ferromagnetic (or small wavevector magnetic)
instability can be used as a guideline for the search of this type of
superconductivity. This is analogous to the appearance of singlet
unconventional superconductivity in the neighborhood of antiferromagnetic
instability. We show three concrete examples where ferromagnetic-like
fluctuation leads to topological pairing.
