  MeerTRAP is a real-time untargeted search project using the MeerKAT telescope
to find single pulses from fast radio transients and pulsars. It is performed
commensally with the MeerKAT large survey projects (LSPs), using data from up
to 64 of MeerKAT's 13.96~m dishes to form hundreds of coherent beams on sky,
each of which is processed in real time to search for millisecond-duration
pulses. We present the first twelve Galactic sources discovered by MeerTRAP,
with DMs in the range of 33--381~pc~cm$^{-3}$. One source may be Galactic or
extragalactic depending on the Galactic electron density model assumed.
Follow-up observations performed with the MeerKAT, Lovell, and Parkes radio
telescopes have detected repeat pulses from seven of the twelve sources. Pulse
periods have been determined for four sources. Another four sources could be
localised to the arcsecond-level using a novel implementation of the tied-array
beam localisation method.
