According to reports, Everton could be allowed to sign Sunderland centre-back Lamine Kone on the cheap during the January transfer window.
It was Allardyce who brought Kone to Sunderland during the 2015-16 season and the Ivorian played a role in helping the club avoid relegation from the Premier League.
He however had a disappointing campaign last term as the Black Cats eventually were relegated. Kone has failed to make an impact for Sunderland this season due to a knee injury.
The Sunderland hierarchy are reported to be open to letting him go on a cut-price fee in order to get him off their wage bill.
Everton previously attempted to sign Kone during the summer of 2016 and after the move failed, he said: “Everton, they are not a small club. There were other clubs interested too. But it was not concrete like Everton.
“It was a very good opportunity for me. A golden opportunity. They are playing for the top positions. They could be in Europe. So it was an interesting challenge for me. At the time, I was disappointed.”