The Owls face incredibly strong competition for the services of former loan star Matty Fryatt - including from his current club Hull City.
Retaining the out-of-contract forward is said to be a priority for the FA Cup finalists as the prepare for a Europa League campaign next term.
And the Tigers hierarchy are hoping the lure of European football will prove strong enough to convince Fryatt to pledge his future to the club.
The question facing the 28-year-old is would he be satisfied acting largely as a squad player at the KC Stadium with Shane Long and Nikica Jelavic the first choice strikers.
Rejecting an extension at Hull would not necessarily see Fryatt turn his back on Premier League football.
Leicester City are reported to have put an offer to former Fox Fryatt to return to the club while fellow top flight newcomers Burnley have also been linked.
Nottingham Forest, Wigan and Brighton are all tipped to enter rival offers while League One Scunthorpe United are refusing to give up hope of landing the striker.
Wednesday have monitored the progress of Fryatt since he returned to Hull in December after a two month loan spell.
Fryatt arrived at Hillsborough on loan last September when Wednesday were still looking for their first win of the campaign.
And the striker impressed with four goals in nine appearances.
Stuart Gray has made no secret of his desire to bring Fryatt back to the club.
Fryatt had fallen down the pecking order at Hull after an Achilles injury before being sent out on loan to Wednesday.
But with Long and Jelavic’s arrival in January, there were plenty of changes in the Tigers’ forward ranks with Fryatt suddenly finding himself as chief understudy.
With the two newcomers cup tied, Fryatt played a key role in Hull’s FA Cup run and started in the final against Arsenal.
He netted six goals in 16 appearances following his return from Hillsborough.