The bumper appears to be fiberglass. Any shop skilled in working with fiberglass should be able to relay new sheets to repair the damage.
At first, one may not envision the repair and repaint to be costly, that's untill the repair quotes are gathered - then you may be surprised. Therefore, I hope you received a police report in case the efforts from your insurer is necessary. Personally, I don't trust people to follow thru on relinquishing money for such things as automotive damages to someone elses car - they may just suddenly disappear. A police report and a call to the insurer is always a comforting ultimatum.