Southampton are hopeful of concluding a deal for Monaco striker Guido Carrillo after increasing their offer to £19million.
The 26-year-old Argentine striker is keen to link up with Mauricio Pellegrino.
Pellegrino also wants to bring in Quincy Promes from Spartak Moscow.
Meanwhile, Monaco have rejected a £39m offer from Napoli for Keita Balde.
The reigning French champions hold an interest in Leicester City's Islam Slimani.
Carrillo has featured 23 times in all competitions for Monaco this season, scoring five goals.