The 19-year-old has previously been strongly linked with a move to Dutch giants Ajax.
David underwent a medical in West London on Friday.
Dutch side Twente have confirmed that the youngster has now joined Fulham.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?