The Frenchman, who has operated at full-back and centre-back during his time in the Premier League with Manchester United and Arsenal, is keen to stay in England after being told he had no future with the Gunners.
The 32-year-old, who has already attracted the attention of West Ham this summer, would be available on a free transfer and would bring a wealth of experience with him to the DW Stadium, having spent nine years at Manchester United between 1999 and 2008 and the last two campaigns with Arsenal.
Silvestre could be seen as the ideal short-term replacement for Maynor Figueroa at Wigan, should he join Liverpool before the start of the season.
Would he fit the boot?