Can a attorney use an old depostion for a case which was settled as evidence in a new case which is related?
In general, yes. For instance, if you hit a car that had several passengers, but each filed a separate suit against you, the deposition in the first case can be used in the second case.
(Also licensed and practicing in New York)
I just wanted to clarify that I assumed your question related to your deposition taken in the first matter and used by an opposing party in the second case. In any event, your deposition in the first case can be used against you in the second case. Also depositions can be used for impeachment puruposes, to challege changed testimony by witnesses or to refresh a witnesses recollection.