An offer of €100m over four years was put in front of the Morocco international over the summer, but the midfielder rejected the attempt.
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OkDiario says SPL representatives are again in contact with Brahim's camp with an improved proposal.
There is now a package worth €120m over four years - net - on the table for the former Manchester City prospect.
However, for now, Brahim would prefer to stay with Real Madrid, with talks over a new deal to 2030 now at an advanced stage. The 26 year-old's current deal runs to 2027.