The 25-year-old has had a starring role for the Brazilian club as they reached the quarterfinals of the tournament with a game against Chelsea next.
According to Calciomercato, Inter Milan are impressed with his performances in the tournament and are readying a €30m.
Rios has a €100m release clause in his Palmeiras contract but the report adds that he could be available for much less.
Saudi club Al-Hilal and French club Paris Saint-Germain have also expressed an interest in the defensive midfielder, with Man United and AC Milan previously linked.