An extractor device is provided to extract an insert to be used with a bone connection element such as a bone plate having at least one opening for a bone screw used with said insert. The extractor device has an outer hollow sleeve having proximal abutment surface being able to engage a surface portion of the bone connection element, and an inner bar having a diameter enabling the insertion of the bar into the hollow sleeve. The bar has a threaded leading end to engage the thread of the insert to be extracted. The hollow sleeve has an inner thread and the inner bar has an outer threaded element for engaging the inner thread of the hollow sleeve. The outer threaded element is positioned with respect to the bar in a longitudinal position to enable the thread at its leading end to extend beyond the proximal abutment surface of the sleeve to be threaded into the insert.