The Daily Mirror reports that Liverpool have joined Manchester United in the race to sign the 17-year-old striker.
Liverpool boss Brendan Rodgers had a three-man team to watch the youngster score twice for Fulham’s Under-21 team last week.
Dembele joined the Cottagers from French side Paris St-Germain in the summer.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?