The Portuguese international is out of contract this summer.
Haber7 is reporting that Meireles and Fenerbahce have failed to come to an agreement regarding a new deal at the club. He is therefore a free agent this summer and the report claims he is all set to join Bournemouth.
In doing so he will reject offers from Porto and Braga in his homeland to sign a one-year-deal.
The mercurial midfielder, who has 73 caps for Portugal, has been heavily linked with Aston Villa in the Turkish media recently but it seems Bournemouth might have now sneaked on in.
Meireles has played in the Premier League before – having spent time with both Liverpool and Chelsea.
The 33-year-old would bring some experience to the Bournemouth midfield, as they look to stay in the Premier League for a second consecutive season.