Determined Everton have reportedly had an £8m bid for Nathan Patterson kicked out by resolute Rangers.
The Scotland international is a key target for the resurgent Toffees who watched their opening offer of £5m being swiftly rejected by Ibrox decision makers last week.
Steven Gerrard branded the initial valuation a "joke" but his former manager Rafa Benitez is hell-bent on securing the rampaging right-back.
The Daily Mail state a new and improved offer has also been turfed out for a player who missed Sunday's win over Celtic due to being forced into isolation.
And any potential agreement between the clubs could be further complicated if the player is unable to go through a medical while complying with Government guidance.
The 19-year-old is regarded as one of the best young Scottish talents and Gerrard has waxed lyrical about Patterson's abilities.
Fresh speculation comes with increasing speculation over the future of Borna Barisic - with the player himself setting tongues wagging after his emotional reaction at full time against Celtic.
And Gary McAllister did little to quell talk surrounding the 28-year-old's future after the final whistle.
Asked about the teary 28-year-old's future after the match, the Rangers assistant boss McAllister said: "You never know.
"What I would say, that just might be a wee reminder to himself that that’s his level."
