Liverpool's Xabi in Juventus talks
Alonso, 26, was thought to be in Turin holding talks with Juventus on Thursday.
The Basque midfielder has found first-team opportunities increasingly limited at Anfield and the club need to raise funds to make signings over the summer.
Juve president Giovanni Cobolli Gigli said in the Liverpool Daily Post: "We can't deny that we're interested, but there's always the problem of getting value for money.
"Jean-Claude Blanc (general manager) is working on this and on other possibilities."