Michael Beale has already signed two strikers in Cyriel Dressers and Sam Lammers amongst the seven new names at the club this summer.
But Antonio Colak’s departure has made it clear that the Rangers boss wants to sign one more forward and he has his eyes on Feyenoord’s Danilo.
The Glasgow giants have already failed with two bids for the 24-year-old striker but they have not backed out of the race to sign him.
According to Dutch daily the Algemeen Dagblad, Rangers have slapped in another improved offer for the forward.
Feyenoord have received an offer of €6m from the Glasgow giants for the striker’s potential departure this summer.
The Rotterdam club are weighing up their options as Rangers push to get their hands on Danilo ahead of the new season.
Beale is hopeful that Rangers’ latest offer will be accepted for the Brazilian to move to Scotland this summer.