Titans managing director Michael Searle said his club was certainly interested in Simpson along with a number of other high-profile players now that the June 30 anti-tampering deadline has expired.
"We've expressed interest in Nate Myles (Bulldogs), we are keen to talk to Mark Minichiello (Souths), Brett Delaney (Parramatta) and if Steve Simpson becomes available we are keen to chat," said Searle.
"We are also keen to chat to Travis Burns from Manly, Gavin Cooper from the Cowboys, and a Tweed Heads Seagulls junior Michael Gordon, a centre with Penrith.
"Of course someone like Simpson would be a great buy, but we would be over the moon if we could get one of Simpson, Minichiello or Myles."
With today ending the anti-tampering period, the Titans were off to a great start by already having Webster on their books.