I was interested in your question because I handled a similar case in NY a few years ago, where the malpractice was failure to timely exchange an expert's report so that the expert was precluded. Having read the other answers and your comments, I agree that it would be worth your while to consult with an attorney regarding a legal malpractice claim. You should be aware that not many lawyers specialize in legal malpractice claims. You need a good all around trial lawyer, preferably one with experience in cases involving similar issues to those in your trial. Depending on the specifics of your case and the magnitude of the damages, it is possible you may find a lawyer who will take it on a contingency fee basis. One wrinkle in a potential legal malpractice claim- you must not only prove that you were damaged, but that the damages were collectable from the defendant in the underlying case. That could be a problem because insurance does not usually cover treble damages.
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If an attorney fails to properly and timely designate experts, and the at trial is barred from presenting their testimony...that could amount to legal malpractice. However, the difficulty I foresee is your damage model. You won your trial. I understand you are not satisfied because the jury award was minimal. The trouble is measuring your injury and, thereby, attaching a dollar value to it. You'd have to have a basis for claiming that those 2 experts would have likely added "x" dollars to your verdict. That sounds very speculative.
Now, it may be that one of those experts was specifically prepared to say, for example -- "the fire caused the loss of $100,000 of art and I can say that because I am an art expert." If there was a measurement of lost dollars directly attributable to the missing expert testimony, you might have something.
Consult with a CT lawyer with experience in legal malpractice work. Do it fast. I'm not licensed in CT so I can't advise you on your statute of limitations & other important state laws.
It would appear that you were successful in your suit with respect to liability. You obtained a verdict, although a low one. The only expert testimony that might have helped would have been an expert to testify as to the value of your various possessions. If one of the experts was supposed to have testified as to valuation, then you might have a legal malpractice lawsuit. However, if the experts were with respect to liability, then you would not have a legal malpractice case.