The club sees Ouattara as a suitable replacement for Bryan Mbeumo, who recently joined Manchester United.
Brentford is looking to strengthen its attacking lineup, as Yoane Wissa is also considering a move to Newcastle United this week.
Ouattara, who joined Bournemouth from Lorient in 2023, has made 88 appearances for the Premier League club and is open to exploring his options during this transfer window.