The former Deportivo La Coruna stopper has signed a three-year deal with the Cottagers, with an option to extend by a further year.
The 30-year-old played in the Champions League last year with Besiktas and made 66 caps for the Turkish club over the last two seasons.
The Spaniard won the Turkish Super Lig in his first season in Istanbul, marking his first major trophy of his career.
Fabri is the third new arrival at Fulham this summer.
This article was most recently revised and updated 4 years ago