Throughout the summer transfer window, Barcelona's precarious financial situation was well documented, resulting in the Catalan giants being unable to sign their desired targets.
Club officials are now keen for as many players as possible to reduce their wages, a request which has already been accepted by four players.
According to ESPN, Coutinho and Griezmann are now speaking with Barcelona regarding amendments to their pay packets.
The report suggests that the La Liga side want to reduce their current income with the intention of making up any deficit in future years.
Coutinho still has three years left on his existing deal, while Griezmann is tied to the club until the end of the 2023-24 campaign.