The 26-year-old struggled for game time under Nuno Espirito Santo last season, playing just 840 minutes across his 31 Premier League appearances.
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According to transfer guru Fabrizio Romano, Silva now looks set to join Turkish side Besiktas on an initial loan with buy option clause that could turn into obligation.
Forest are understood to be keen on offloading the Portuguese forward following a busy summer that saw them strengthen their wide options considerably.
The Turkish transfer window is still open for another day with several Premier League stars still linked with a moves.