It has been reported by the British tabloid that Crystal Palace and Brighton and Hove Albion wanted the striker in the summer transfer window.
The Senegal international is back in Ronald Koeman's team and has been among the goals recently, but it has been reported that he can still leave Goodison Park.
The 27-year-old scored in the Toffees’ 3-0 victory over Sunderland at Goodison Park in the third round of the EFL Cup on Wednesday evening.
Then on Saturday afternoon, the former Akhisar Belediyespor striker scored both goals in Koeman's side’s 2-1 victory over Bournemouth at home in the Premier League.
Niasse has been on the books of Everton since February 2016 when he joined from Lokomotiv Moscow for a transfer fee reported by BBC Sport to be worth £13.5 million.
Everton are 13th in the Premier League table at the moment with seven points from six matches.