Soule has been a target for Leicester all summer and the club have been pushing to take the winger to the King Power Stadium.
Their initial bid of €25m was rejected by Juventus but there are claims that a broad agreement is in place between the two clubs.
Leicester and Juventus have reached an agreement over a deal of around €30m for the transfer of Soule to England this summer.
However, according to Italian outlet TuttoJuve, the Foxes still have work to do to convince the player to move to the Premier League.
It has been claimed that Soule is clear about wanting to join Serie A giants Roma this summer.
Roma have managed to sell a move to the Stadio Olimpico this summer but they still do not have a deal in place with Juventus.
The Turin outfit are waiting for Roma to raise their offer and try to find an agreement over a fee.