  We present the results of our study of the relationship between FR0 radio
galaxies and GPS sources. Quasi-simultaneous radio spectra of 34 FR0s were
obtained at 2.25-22.3 GHz with the radio telescope RATAN-600 in 2020-2021
during 2-6 epochs. Most FR0s have flat radio spectra, but we found many spectra
with a peaked shape. Due to this fact and the compact nature of FR0s, we
suggest their possible relationship with CSS/GPS radio sources. We analyzed
broadband radio spectra of the 34 FR0s using the RATAN-600 measurements and
available literature data. There are 14 FR0 objects which can be CSS/GPS radio
source candidates. Most FR0s have broader radio spectra than those of genuine
GPS sources, with FWHM > 2 like in blazars. Most spectral indices at the
frequencies below and above the peak do not correspond to the values typical of
canonical GPS sources. We classified 3 FR0s as low-power GPS sources according
to the canonical criteria. The key issue is the variability properties of FR0s.
Some FR0s demonstrate a variability level of up to 25 % on a time scale of one
year according to the RATAN-600 measurements. The flare phenomena in FR0
objects can imply a relationship between them and blazars.
