  Unconventional superconducting states of matter are realized in the presence
of strong spin orbit coupling. In particular, non degenerate bands can support
odd parity superconductivity with rich topological content. Here we study
whether this is the case for Weyl semimetals. These are systems whose low
energy sector, in the absence of interactions, is described by linearly
dispersing chiral fermions in three dimensions. The energy spectrum has nodes
at an even number of points in the Brillouin zone. Consequently both intranodal
finite momentum pairing and internodal BCS superconductivity are allowed. For
local attractive interaction the finite momentum pairing state with chiral
p-wave symmetry is found to be most favorable at finite chemical potential. The
state is an analog of the superfluid $^{3}$He A phase, with cooper pairs having
finite center of mass momentum. For chemical potential at the node the state is
preempted by a fully gapped charge density wave. For long range attraction the
BCS state wins out for all values of the chemical potential.
