Burnley want Nottingham Forest to pay Maxwel Cornet's £17.5m release clause in one go or pay more for the 25-year-old.
Everton and Fulham have previously asked for loans with a fee and an option to pay around £20m next summer.
The Ivory Coast international is being chased by a number of Premier League clubs after he was relegated with Burnley last season.
Nottingham Forest have rejoined Fulham and Everton in pursuing Burnley's Maxwel Cornet
Despite the Clarets' relegation, Cornet impressed, scoring nine goals in total.