George has been available by Chelsea this month, with Fulham keen to keep the winger in England.
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However, Italian transfer expert Alfredo Pedulla is reporting Napoli and AS Roma are also interested and keen to ferry the youngster to Italy before Tuesday's winter deadline.
Roma tried during the summer transfer window to sign the England U21 international.
At that time, no deal came to pass, but the interest remains and Roma is now carrying out a new internal evaluation.
Currently, both Napoli and Roma are said to be weighing up the pros and cons of a possible deal before Tuesday.