  We have searched the OGLE-II archive for candidate counterparts of X-ray
sources detected in two low-extinction windows included in our Galactic bulge
Chandra/HST survey. We find that a significant number - i.e. in excess of the
expected level of random associations - can be matched with probable M-giants.
Their X-ray properties can be understood if these sources are symbiotic
binaries where the X-rays are typically, either directly or indirectly, the
result of a white dwarf accreting from the wind of a cool giant. Optical and
near-infrared properties of selected sources are consistent with a symbiotic
nature, although none of the spectra collected for 8 out of 13 candidate
counterparts show the high-ionization nebular emission lines observed for many
symbiotics. The hard X-ray emission for several sources (power-law photon
indices -1.5 ~< Gamma ~< 1.5) suggests our sample includes systems similar to
the symbiotics recently detected with INTEGRAL and Swift.
