Their initial bid for the Wales international, believed to be in the region of £10million pounds, was rejected. With that being said, it has been reported that Williams is interested in a potential move to Goodison Park and if this is the case, Swansea will be eager to ensure a deal is concluded relatively swiftly.
Toffees' interest in Williams intensifies
Provided the offer accepted is a fair one, that is. The 31-year-old centre-back has been at the Liberty since 2008 and has made over 300 appearances for the club. His performances for his native Wales at this summer's European Championships saw his market value increase, and potential suitors such as Everton themselves knew they'd always have a tough time trying to prise one of the club's main assets away.
Swans want more for their club captain
In the current market with the new TV deals and lucrative sponsorships, £10m is seemingly pocket change for most Premier League clubs but with the new campaign less than two weeks away, Swansea will be hopeful they can get a fair price for the player before searching for defensive reinforcements - as the deadline is on August 31, after all.
They've already been linked with an approach for Anderlecht's Kara Mbodji, a fee of £6.25m is reportedly in the works whilst Sevilla striker Fernando Llorente is expected to be officially unveiled as a Swansea player in the next 24 hours after a £5m deal was agreed between the two clubs.