Coming off contract in June, the Gunners are eager to hold onto Forde, reports Jeorge Bird's Arsenal youth website.
Forde has battled back from injury this season to convince academy coaching staff.
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Romari's father, Fabian Forde, played for Watford. His brother, Shaqai, is also now on the books at the Hornets.
Romari was recruited by Arsenal from Watford at U15 level.