Failure to appeal does not always result in violation of due process

Dear PAO,

A private counsel represented me in a civil case involving a certain land. Unfortunately, we lost the case, and my counsel failed to inform me. Hence, no appeal was filed from the adverse decision rendered by the court, and the decision attained its finality. I have already terminated my lawyer's services and am looking for another lawyer. I spoke with one of my classmates, who is knowledgeable about court proceedings, and he told me that an appeal is the proper remedy. Allegedly, the failure of my former lawyer to file an appeal in a timely manner is tantamount to a violation of the right to due process. Is there a violation of due process in my case?