Aulas was furious with Liverpool's actions and called off the deal.
However that move to Anfield collapsed after reports suggested Liverpool had concerns regarding his medical results, leaving Lyon to announce that they would be pulling out of the deal.
After seemingly missing out on Nabil Fekir, Liverpool are looking at alternatives.
Liverpool believe they will beat Tottenham Hotspur to the signing of Swis star Xherdan Shaqiri.
The likes of Southampton, Everton and Wolves have shown an interest, but the bargain price has led to the Premier League big guns making a move, and now it appears to be a straight contest between Spurs and Liverpool. I have always listened as a priority, the players are my sons. "I had given him the green light", he said.
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But Aulas also claimed Real Madrid, among the other European elites, are interested to capture their talisman.
"He is an exceptional player, he keeps the ball in little space and has an incredible talent".
"There is a lot of interest from other camps, so everything is possible".
Speaking to beIN Sports, Aulas added: "The interest of Real Madrid?".
Asensio, who is now with the Spain squad at the 2018 World Cup, scored 11 times in 53 appearances in all competitions for Los Blancos during the 2017-18 campaign. Certainly, Fekir has the potential to transfer Reds' midfield into an unstoppable force and their twelfth man is desperate to see him in the red outfit.