However, their move for the Crystal Palace left-back could hinge on Manchester United.
It is claimed United are reluctant to meet Juve's £52 million valuation of the Brazilian.
However, the Italians are said to be putting together contingency plans, which appear to involve Van Aanholt.
According to the Sun, Crystal Palace have no intention of selling the Dutchman, who has also been linked with a move to Everton (Daily Mail).
Although the newspaper adds he may find hard to ignore the prospect of signing for one of Europe's elite clubs, and playing regular Champions League football.
Palace are said to have paid around £9.5 million to acquire Van Aanholt from Sunderland 18 months ago, in which time the 27-year-old has established himself as a regular in the Eagles' side.
Van Aanholt's clubmate, Christian Benteke, is being linked with a move to Hebei China Fortune, a club now managed by the former Crystal Palace defender, Chris Coleman (Mirror).
Would Van Aanholt be a suitable Sandro replacement, should the Brazilian sign for Manchester United?