In the near future, all the space agencies are working to restart the human exploration of space outside the Low Earth Orbit (LEO). Crewed space missions in this and the next decade will see the presence of humans on the Moon and Mars surface. One of the main showstoppers to be investigated for safe exploration and colonisation is the biological effects of ionising radiation that can compromise the health of astronauts/space workers. In this vital task, a principal role could be done by the astroparticle experiments presently operating in space. Such experiments are a source of information crucial to improving the knowledge of radiobiology effects in space. In this talk, a review of the past and present astroparticle experiments will be presented and will highlight some of the possible contributions and improvements in the space radiobiology research field.