I first show  that in topological semimetals (k-space vortex) with a single two-band-touching node allgapped pairing states are non-Abelian states, regardless of the pairing details.The property is further generalized to situations where such two-band-touching are gapped and/or deformed. Particularly, it is found that all the singlet orbital pairing instabilities are absent in a class of spin-polarized multi-orbital systems with quadratic band touching, which opens the way for triplet orbital pairing order. The ground states are found to be non-Abelian states with p-wave orbital pairing in heckerboard (away from 1/2 filling) and kagome (above 1/3 filling) lattices with isotropic attractive interaction which can be realized in ultracold multi-orbital optical lattices. The special property of such systems is generalized to more classes of multi-orbital systems, where the fully-gapped nonAbelian states are possibly the ground states. (Refs: arXiv:1107.4274, arXiv:1110.2043)