The London Evening Standard says the Cottagers now face a battle to keep hold of the teen.
Advertisement
Advertisement
Zepa, 17, has rejected Fulham's opening pro contract offer and is open to leaving this summer.
The winger now has contact with Forest and the Cherries as he considers his options.
Talks have been held with both clubs, which are offering longer and more lucrative deals than Fulham's opening proposal.
Zepa joined Fulham a year ago after coming through both the Chelsea and Arsenal academies.