The Brazilian has spent the last two years on loan with the Turkish side and his impressive showings have drawn interest from around Europe.
Premier League outfit Wolves and Serie A side Roma have both been linked with a move for the attacker, while Besiktas had the option to sign him on a permanent deal at the end of the season.
Liverpool were also linked with a move for Talisca during the winter window, and it now seems as though Jurgen Klopp's side may have locked down a deal for the emerging star to join the club this summer.