Burnley have lodged three bids in the last 24 hours.
The Daily Mailsays Burnley have had a £15million bid for Ben Gibson accepted by Middlesbrough.
They are also going to sign midfielder Sam Clucas from Swansea City and are interested in Aberdeen's Lewis Ferguson after his goal against them at Turf Moor on Thursday night.
But Watford have rejected their £9m offer for striker Troy Deeney.
Meanwhile, Joe Hart is set for a medical at Turf Moor as the goalkeeper gears up to bring an end to a 12-year stay at Manchester City.