Clarets boss Stan Ternent has left the door open for Paul Gascoigne to return to Turf Moor but he admitted: "I know he has a lot of offers to play elsewhere."
When the England legend came within inches of firing Burnley into the play-offs on the last day of the season it was assumed he had played his last game for Burnley and possibly his last in English football.
But the possibility of him returning for pre-season training still exists, with the club taking him on a simple week by week rolling contract.
"Nothing is ruled out," explained Ternent. "I know that Paul has had offers to play in the Middle East, to play in the United States and he has also had clubs in our division wanting him to sign. Basically he will let me know what he is going to do.
"But if he did come to me and ask to have a week by week contract for a certain amount of money I would just have to tell him what I am telling everyone at the moment, I am waiting to see what the financial situation is.
"The television situation means I can do little at the moment, it is just wait and see."
Gascoigne will be 35 on Monday but Ternent has never been afraid to play men who are nearing the end of their career, witness 37-year-olds Mitchell Thomas and Kevin Ball.
He was signed from Everton two months ago in the hope that he might inspire the Clarets to reach the play-offs, with Burnley simply taking over his contract with a few weeks to run.
After a bright start on his debut against Bradford he only found his form in brief patches but could still have been the hero had it not been for two great saves from Sky Blues keeper Magnus Hedman.
Since the end of the season there have been reports that Portsmouth boss Harry Redknapp is keen to take Gascoigne to Fratton Park while there are still offers on the table for him to play overseas.
His agent Ian Elliott has repeated that Gascoigne is keen to prolong his career and there is no doubt that his name still has great pulling power, 12 years after he became a world star at Italia 90.
Despite the fact that Ternent has refused to rule out a return for Gascoigne, the financial constraints on the Burnley boss would be likely to prohibit any new deal.
His initial signing was never going to be a financial gamble as his arrival at Turf Moor ensured bigger crowds and the inevitable spin-off in relation to merchandise.
But with Ternent still unclear as to how much he can spend on squad strengthening, even a week by week contract for Gascoigne might not be seen as the best use of resources.
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