I had a similar situation some 3 years ago: had 3rd Party only (+ legal cover), had accident , bike written off and got paid fairly quickly (bike was written off) for total value “Without Prejudice”.
Beware of that, it’s not an admission of fault by the other party’s insurance until settlement is reached.
Anyway, eventually my solicitors managed to reach full settlement in my favour so payment above was confirmed + some other bits for other minor losses.
Thought case was closed until three months later I get a letter from a different solicitors firm (acting on my insurance behalf) asking me to take to court the other party (not his insurance, him personally!) to recover the bike hire charges which his insurance had not paid.
I replied saying that I had no interest, time, nor will to pursue this case and as far as I was concerned the claim was settled and therefore closed as advised and confirmed by my previous solicitors.
They insisted by sending me county court forms with my name printed on it acting as the pursuant and the other guy’s name as the defendant ready to be signed and sent to open a court case – basically me suing this other guy…
I reiterated that I found it unacceptable that I had to pursue this for them on a personal level and so stood firm and refused even after assurances of not incurring in any expenses.
After a few months of calls and letters I think they eventually gave up (or managed to get paid, don’t know) as I haven’t heard from them in over a year (although I’m not holding my breath).
So my advice is: if you decide not to go with fully comp insurance, beware of what costs you might be held liable in the end, especially as in this and my case, with bike hire charges. Everyone knows it’s a legalised scam as they’re charged at exorbitant prices and you’re highly encouraged with no choice (once accepted) to keep them as long as possible.
Specifically in your case I’d advise you as others have said to speak to your solicitors and seek explanations onto why these costs haven’t been recovered from the other party’s insurance, to check your hire agreement and most importantly to check whether a settlement had been reached and favour of whom.