The judges of the diaspora do not exact payment when an animal injures a person, because this is an uncommon occurrence. When, by contrast, a person damages an animal belonging to a colleague, he must pay the complete damages to his colleague regardless of where this takes place, just as he is responsible if he ripped his garments, broke his utensils, or cut down his produce.
Similarly, when an animal causes damage by eating or by treading, since its owner is forewarned that this is its inherent natural tendency, it is a common matter and the damages are expropriated by the judges of the diaspora. This applies whether it damaged another animal, e.g., it rubbed against it, it consumed produce that it would naturally eat or the like, or it damaged food or utensils by treading upon them in which instance he is obligated to pay full damages. Payment for all of these damages can be expropriated by the judges of the diaspora.
If, however, an animal was not prone to cause damage, then it caused damages to the extent that the owner was warned, and then it caused damage again, e.g., it bit, it butted with its body, it lay down, it kicked, or it gored, these damages are not expropriated by the judges of the diaspora. The rationale is that there is no concept of the owner of an animal being forewarned in the diaspora. Even if an animal caused its owner to be forewarned in Eretz Yisrael, and then it was taken to the diaspora where it caused damage, the damages are not expropriated, because this is an uncommon occurrence.