  We report on the near-infrared matches, drawn from three surveys, to the 1640
unique X-ray sources detected by Chandra in the Galactic Bulge Survey (GBS).
This survey targets faint X-ray sources in the Bulge, with a particular focus
on accreting compact objects. We present all viable counterpart candidates and
associate a false alarm probability (FAP) to each near-infrared match in order
to identify the most likely counterparts. The false alarm probability takes
into account a statistical study involving a chance alignment test, as well as
considering the positional accuracy of the individual X-ray sources. We find
that although the star density in the Bulge is very high, ~90% of our sources
have a false alarm probability < 10%, indicating that for most X-ray sources,
viable near-infrared counterparts candidates can be identified. In addition to
the FAP, we provide positional and photometric information for candidate
counterparts to ~95% of the GBS X-ray sources. This information in combination
with optical photometry, spectroscopy and variability constraints will be
crucial to characterize and classify secure counterparts.
