The Brazilians failed to sell the Zimbabwean international during the January transfer window, which closed on Wednesday night.
Billiat has so far refused to sign the new deal at Sundowns.
READ: Billiat situation is not in my hands – Mosimane
Kaizer Chiefs and Orlando Pirates were said to be interested in the player, but his agent has confirmed that Billiat wants to leave the club and go to overseas.
Sundowns are now set to lose him for free in June when his current deal expires.
READ: Mosimane gives up on Billiat
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