With several injuries occurring in defence, Jurgen Klopp will prioritise a move for a new centre-back if he enters the January transfer market.
However, according to the Daily Star, the Merseyside giants are also contemplating doing business with Wolves for the second time in a year.
After Diogo Jota left Molineux for Anfield last summer, it is claimed that Klopp is interested in agreeing a deal for Neves.
The Portugal international has just two-and-a-half years remaining on his contract, and the longer it takes to pen an extension will only lead to speculation regarding his future.
Silva, who only joined Wolves earlier this year, is also said to be on Liverpool's radar having previously worked with Liverpool coach Vitor Matos. body check tags ::