Valencia have already rejected a bid from the Bianconeri for Gomes, and while Juventus are ready to put in a new bid, they won't go up any further for the player.
Both Manchester United and Chelsea have fallen short of Valencia's €65m (£54.5m) valuation of midfielder Andre Gomes, with Real Madrid in pole position for his signature, according to reports from Mundo Deportivo.
But it could be too little to late for the 22-year-old, with the £50m arrival of Gomes from Valencia thought to be imminent.
Manchester United are also interested in the midfielder, but their current focus is on landing Paul Pogba from Juventus for a rumoured world record fee.
Yet Gomes' agent Jorge Mendes, who is aware of Real Madrid's interest, is convinced that he can clear up any medical uncertainties.
Zinedine Zidane reportedly wants the Portugal star as an alternative to Luka Modric, who Real struggled to replace last season when he was sidelined through injury.
Florentino Pérez and current Valencia CF owner Peter Lim have a good relationship and they have completed some other deals lately, as Denis Cheryshev's loan and Álvaro Medrán's signing for the Mestalla club.
Kovacic was linked with a move to Anfield last summer before he opted to join Real in a £26million deal from Inter Milan.