Sunderland manager David Moyes remains hopeful Lamine Kone will stay at the club, despite a reported £21 million bid from Everton and continued speculation regarding the defender's future.
Moyes confirmed he turned the offer down due to a belief that he would not be able to sign a replacement for the 27-year-old but didn't confirm the move had been rejected outright by the Sunderland board.
"Kone will stay," Moyes said. "The offer's been rejected by me, yes. I've had that offer for a while...
Everton manager Ronald Koeman insists he is not worried about Romelu Lukaku's early-season form.
The Belgium international, who was one of the later arrivals back to training after Euro 2016, drew a blank on his first start of the season in the 4-0 EFL Cup win at home to League Two Yeovil.
Despite a number of chances, he looked short of the sharpness which brought him 25 goals last season and he was even outshone by substitute Arouna Kone, who scored his first goals since January with a late double.