The winger has battled for form in England this season and Barca have hopes of sending him to Saudi Arabia.
Sport says Fati is said to have rejected a Saudi bid ahead of this season and it may be difficult to convince him to change his mind.
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Financially, it would be beneficial for all parties if Fati was to move to Saudi Arabia.
Attacking winger Raphinha, 27, is also being chased by Saudi clubs, but he is said to be even more difficult to convince of such a move.