Silverbrooks
Who advised you not to report?
RosieandherMaw is correct.
You should report any accident, even a minor one, to your insurer, even if you don't plan to make a claim. It’s usually a policy requirement and failure to report could invalidate the policy. If that were to happen you would find it very difficult, perhaps impossible, to get insurance elsewhere.
You say the other driver has been in contact with his insurers, which is what he should do, but that doesn’t mean he has made a claim.
If it turns out he hasn’t claimed, assuming there has been no lasting damage to his car either, then you have both just done as required but no costs are involved.
Did you not exchange phone numbers so you could ask him to text you a photo of any damage to his car?
In a way you have kind of admitted that you may have been at fault as you were driving at night in an unfamiliar city and possibly under stress as your husband is in hospital. Even though you don’t think it was your fault, if he does make a claim and it comes down to one person’s word against the other, it’s possible that you could be held responsible.
I think you need to get clear in your mind what exactly happened and how it was that he managed to scrape your wing. For example: What was the position of your car in relation to the road? Was your car protruding from a junction? Where you over a white line? Did he cut off a corner?
Speak to your insurers.
I’m not altogether sure this is the case now. Insurance companies seem to take a more flexible view of minor incidents that don’t require a claim. Claims are an expensive process for them, and I think they’re fairly pragmatic. Of course, if anyone is ever injured then that’s an absolute yes to reporting.
If you don’t have photos, it will just become a ‘he said/she said’ and each insurance company will take the responsibility for their share.
Well done you for your prompt response, which clearly minimize the damage. Another one chalked up to the oldies!