If a verdict is rendered in your favor, it usually takes a few weeks to a month to finalize the results. If the defendant does not appeal the verdict, the lawyers will work out the final figures with respect to the verdict, interest, court costs, deductions and attorneys' fees.
Hopefully, you will not lose. If you do, your lawyer will discuss the possibilities of appeal. Appeal is usually a very expensive process, but your lawyer will advise you whether or not appeal is appropriate.
In a few rare cases, the insurance company may be willing to offer a nominal settlement to avoid an appeal. This is not very probable. The best thing to do is to concentrate on winning your case. If your case is clear on liability (fault of the other party), and you have prepared yourself well for trial, the chances are that you will win your case. Justice usually prevails.