The 23-year-old striker scored six goals in 15 Bundesliga games for the German club in the 2020/21 season and provided two assists, which turned out to be a season that could lead to injuries for Gonzalez.
Gonzalez is currently playing for Argentina in the Copa America and started alongside Lionel Messi and Lautaro Martinez in the first three for the national team in the opening game against Chile.
The Guardian reports that Stuttgart also made a similar offer of around £ 25 million who accepted Fiorentina, but Gonzalez prefers a move to the Premier League.
After Brighton fought off competition from Tottenham Hotspur and Leeds United, Brighton will break its record £ 20m fee for Adam Webster in 2019 to win Gonzalez to the Amex Stadium.
Gonzalez came to Stuttgart in 2018 and has scored 23 goals for the club in 79 appearances.