  This is the companion piece to "Local-global questions for tori over p-adic
function fields" by the first and third authors. We study local-global
questions for Galois cohomology over the function field of a curve defined over
a p-adic field, the main focus here being weak approximation of rational
points. We construct a 9-term Poitou--Tate type exact sequence for tori over a
field as above (and also a 12-term sequence for finite modules). Like in the
number field case, part of the sequence can then be used to analyze the defect
of weak approximation for a torus. We also show that the defect of weak
approximation is controlled by a certain subgroup of the third unramified
cohomology group of the torus.
