Brandi was a professional tennis player in 1988 and specialized in early on the men's doubles. He won his first Challenger in 1990 in Venice by a total of twelve titles on the ATP Tour. In 1992 he stood for the first time in Dopplefinale an ATP tournament, but lost in San Marino on the side of Federico Mordegan against the Swedes Nicklas Kulti and Mikael Tillström. His first career title he won in 1994 in ATP Estoril without a fight, as the final opponent Richard Krajicek and Menno Oosting not competed. His second and last doubles title on the ATP World Tour he won in 1997 on the side of Filippo Messori in San Marino. Throughout his career he was in eight finals on the ATP Tour and the final of the International Series Gold tournament in Barcelona, which he lost at the side of Massimo Bertolini against Paul Haarhuis and Yevgeny Kafelnikov. The highest quotation in the tennis world ranking he reached in 1989 with position 544 in single and in 2000 with position 50 in doubles.
In the individual he was never able to qualify for a Grand Slam tournament. In the doubles competition his best results were third- round appearances at the French Open in 1997 and Wimbledon in 1995 and 2000. Mixed In he went to both of these tournaments, but failed each in the first round.
Brandi played between 1994 and 1995 three double appearances for the Italian Davis Cup team. On the side of Stefano Pescosolido he won two of his games, the game against Jared Palmer and Richey Reneberg in the quarterfinals of the World Group in 1995 was lost. It was as if his greatest success with the team as well as his last match in the Davis Cup.