The present invention relates to the use of substituted 3-pyridyl heterobicyclic compounds of formula I as agrochemical pesticides. Furthermore, the present invention relates to novel substituted 3-pyridylheterobicyclic compounds of formula I* as well as to processes and intermediates for preparing them, and also to active compound combinations comprising them, to compositions comprising them, and to their use for protecting growing plants from attack or infestation by invertebrate pests. Furthermore, the invention relates to methods of applying the compounds of I, or I*. The present invention also relates to seed comprising such compounds.