After military service as a lieutenant in the United States Navy Reserve, D'Alemberte studied on a Rotary Foundation fellowship at the London School of Economics.
In 1962, he received his juris doctor with honors from the University of Florida where he was named to the Order of the Coif, served as president of the Student Bar Association, was captain of the moot court team, served as articles editor of the University of Florida Law Review, and received the J. Hillis Miller Award as the outstanding law graduate.
During his tenure, he and colleague Homer Moyer, helped to create the ABA's program that aided the newly Democratic nations of eastern Europe, called CEELI.
He continued teaching as a member of the University faculty at the FSU College of Law as well as having a private appellate practice in Tallahassee, D'Alemberte & Palmer, PA.
D'Alemberte was an active member of many legal and higher educational committees and boards, including numerous American Bar Association committees, state and regional bar associations, the American College of Trial Lawyers, the Lawyers' Committee on Civil Rights Under Law, the NAACP Legal Defense and Education Fund, the Florida Council of 100, the Business-Higher Education Forum, the Campus Compact, the Advisory Board of the First Amendment Center at Vanderbilt University, the Mildred and Claude Pepper Foundation Board of Directors, the Academic Task Force on Hurricane Catastrophe Insurance which identifies ways to provide affordable hurricane insurance coverage to all Floridians, and several FSU committees and boards including the FSU Foundation, the FSU Alumni Association, the Collins Center for Public Policy, the Caribbean Law Institute and the Seminole Boosters.