  We report the detection, with ${\it Chandra}$ and XMM-${\it Newton}$, of
faint, soft X-ray emission from four symbiotics stars that were not known to be
X-ray sources. These four object show a $\beta$-type X-ray spectrum, i.e. their
spectra can be modeled with an absorbed optically thin thermal emission with
temperatures of a few million degrees. Photometric series obtained with the
Optical Monitor on board XMM-${\it Newton}$ from V2416 Sgr and NSV 25735
support the proposed scenario where the X-ray emission is produced in a
shock-heated region inside the symbiotic nebulae.
