The only thing a flight crew member has to provide on an EASA SAFA check is a current licence (which includes a current medical and nowadays a language proficiency certificate). However some european CAAs want to see a logbook which is however quite unjustified as a flight crew member doesn't have to carry one (according to JAR-FCL 1.080 (a) and (d) (1)).
You can check out information about SAFA checks including current regulations on that subject on the
EASA homepage.