We present the results of second epoch simultaneous multifrequency observations of 45 sources out of the 55 in the sample of High Frequency Peakers (HFP) by Dallacasa et al. (2000). Seven of the stellar sources (i.e. 16% of the total number of sources and 26% of the stellar fraction) no longer show a convex spectrum and are thus likely to be flat spectrum quasars in an outburst phase during the first epoch of observations. The rest frame peak frequency distribution of HFP quasars extends up to ~...