Born in 1963 in Asti (Italy), Mr Di Bucci studied law at the Università degli Studi di Torino (University of Turin, Italy), where he obtained a Master's degree in law in 1986. He continued his studies at the université de Nancy II (University of Nancy II, France) where he obtained a postgraduate degree in Community law in 1988.

In 1987, Mr Di Bucci joined the Court of Justice as a lawyer-linguist in the Italian translation unit. In 1988, he was recruited by Judge G. Federico Mancini as Legal Secretary within his chambers, a position he held until 1991. He was Legal Secretary to Judge Mancini again between 1994 and 2000.

Between 1991 and 1994, Mr Di Bucci was a member of the Transport, Environment and Consumer team of the Legal Service of the European Commission, an institution which he joined again in 2000 as a member of the State Aids and Dumping team of its Legal Service. Between 2007 and 2010, he was a member of, and then Legal Adviser in, the Competition team. In 2010, he was appointed Principal Legal Adviser in the State Aids and Dumping Team and held the same position in the Business Law Team from 2014 to 2023.

On 5 June 2023, Mr Di Bucci was elected Registrar of the General Court.

He is the author of various publications on EU law, in particular on proceedings before the EU Courts, State Aid and EU banking law.