If your partner was not injured then there can be no claim for personal injury compensation. This sounds more like an accident management company getting excited about the prospect of a passenger injury claim rather than the insurer. However some of what you say needs clarification.

Were you at fault in the accident or was another vehicle involved? If you were driving her car as the named driver, then any claim she made (as an injured passenger) would be against you but on her own policy - so it makes no sense for them to encourage a fraudulent claim against themselves. What is the damage to the vehicle and is it currently usable?