The Toffees’ transfer business has ramped up in recent weeks following the £47.5m sale of John Stones to Manchester City, with Yannick Bolasie and Ashley Williams having been signed.
And reports claim that their dealings are not yet done, with talks regarding a move for Brahimi underway.
It’s understood that the Merseysiders hold a strong interest in the 26-year-old and that discussions regarding a transfer have progressed well.
However, Everton face a potential problem in that Brahimi favours moving to a club playing Champions League football and has already rejected a lucrative offer from a Chinese team.
The Algeria international, who has been capped on 28 occasions, has developed a reputation as a goalscoring wide attacker during his time at the Estadio do Dragao, netting 21 times in 77 outings.