The Reds have been tracking Sevilla’s left-back for much of the summer, but despite claims that their latest £14m offer has been accepted it has now emerged that the Spaniards have upped their demands to £16m+.
This has already happened once this summer, and now it is understood that the Merseysiders have grown so frustrated with their La Liga counterparts that they are considering pulling out of talks altogether.
An alternative target is Rojo of Sporting Lisbon, who shone at the World Cup as Argentina reached the final.
Southampton have been discussing a deal for him in recent weeks, but the player himself is thought to be holding out for a bigger club.
Liverpool are believed to be one that he would consider, and a £13m offer is now in the pipeline.
The Saints are likely to be angered by their domestic foes’ decision to chase the 24-year-old, with the Kop side having already raided St Mary’s Stadium to sign Dejan Lovren, Rickie Lambert and captain Adam Lallana this summer.