Brivio will become Alpine’s racing director, and will report directly to the French sportscar manufacturer’s CEO Laurent Rossi.
The Italian’s appointment comes as part of a management reshuffle at the renamed Alpine squad, following the surprise departure of team principal Cyril Abiteboul.
Alpine has not yet announced who will replace Abiteboul, but it is widely expected that executive director Marcin Budkowski will take the role.
Brivio’s move to Alpine has been engineered by Renault CEO Luca de Meo, who is pushing hard to reinvigorate the French car manufacturer’s many brands.
Fiat was title sponsor of the team from 2007 to 2010, when de Meo was the Italian car manufacturer’s chief marketing officer.
Speaking about his decision to move to F1 earlier this month, Brivio said that it had not been an easy call to make.
“A new professional challenge and opportunity suddenly came to me and in the end I decided to take it,” he said. “It has been a difficult decision.
“The hardest part will be to leave this fabulous group of people, whom I started this project with when Suzuki rejoined the championship. And it’s hard to say goodbye also to all the people who have arrived over the years to create this great team.
“I feel sad from this point of view, but at the same time I feel a lot of motivation for this new challenge - which was the key when I had to decide between renewing my contract with Suzuki or starting a completely new experience.”
Brivio most recently helped Suzuki win its first 500cc/MotoGP championship title in 20 years, having previously enjoyed a lengthy spell with Japanese bike manufacturer Yamaha.
As part of its rebranding Alpine will race with an all-new livery this year, and will have Fernando Alonso and Esteban Ocon on board.