Real Madrid have been linked with Chelsea star Alonso as they aim for a successful end to the summer transfer window.
Los Blancos have experienced a quiet summer so far, with Vinicius Junior, Alvaro Odriozola, Andriy Lunin and Thibaut Courtois their only new recruits.
Real Madrid know signing Alonso will be difficult given Chelsea are unable to sign a replacement until January at the earliest.
However, the Blues are willing to do business if Real cough up £54million, Spanish newspaper AS say.
Alonso is an important player for Chelsea.
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He helped them win the Premier League title in 2016, starring as Antonio Conte’s side beat Tottenham to the prize.
And he has started life under Maurizio Sarri on the right foot, scoring the winner in their 3-2 victory over Chelsea at the weekend.
AS say Chelsea director Marina Granovskaia is willing to sell Alonso.
However, in doing so, it would risk a row with Sarri.
The new Chelsea coach reportedly feels Alonso is one of the most important players currently at his disposal.
But whether that is enough to prevent the Spaniard from going to Real remains to be seen.
Julen Lopetegui was recently quizzed about transfers.
And he insisted he was happy with his current crop of players as they target the La Liga, Champions League and Copa del Rey titles.
He said: “We are delighted with the team we have.
“We are convinced we will fight for everything. From there, we are working to try to be a good team.
“If nobody comes and nobody goes, I will be a happy coach.”