Everton's Romelu Lukaku in action with Sunderland's Lamine Kone
Grayson will be planning further changes to his squad, and even after selling Jordan Pickford to Everton and seeing Jermain Defoe leave for Bournemouth, Grayson could yet allow more players to leave.
Now, the Daily Mail report that Burnley are interested in signing Sunderland defender Lamine Kone, as they search for a new centre back following Michael Keane's big-money move to Everton.
It's claimed that, with Kone on a deal worth £60,000-a-week at the Stadium of Light having agreed a new contract last summer, Grayson is willing to sell in order to fund moves elsewhere.
The Ivorian international centre back, 28, joined Sunderland from Lorient back in January 2016, and he enjoyed a superb run of games under Sam Allardyce to help keep the club in the Premier League.
Kone didn't enjoy quite so much success last season though, and whilst it's noted that Everton, Crystal Palace, West Brom and West Ham were interested in Kone, it's now Burnley making their first move to land him by lodging an enquiry.
With Keane gone, manager Sean Dyche needs more options at the back, and Kone could fit the bill – if the Clarets can offer him a suitable wage packet.
Would you like to see Burnley sign Kone?