The Australia international was expected to move to Manchester City during the January market after complaining about being priced out of a deal over the summer.
However, Tuttosport says Bresciano is now reconsidering his situation after the re-appointment of coach Francesco Guidolin this week. The former Empoli star enjoys working with Guidolin and could now be persuaded to stay in Sicily.
Meanwhile, it's emerged that Torino coach Walter Novellino has sounded out Palermo about Bresciano's availability this week.