  Several experiments were performed during last years at underground (3600 m
w.e.) Laboratori Nazionali del Gran Sasso (LNGS) of the INFN (Italy) to search
for resonant 2$\varepsilon0\nu$ captures in 96Ru, 106Cd, 136Ce, 156Dy, 158Dy,
180W, 184Os, 190Pt with the help of HP Ge semiconductor detectors, and ZnWO4
and 106CdWO4 crystal scintillators. No evidence for r-2$\varepsilon0\nu$ decays
was found, and only T_{1/2} limits were established in the range of
10^{14}-10^{21} yr.
