The 27-year-old's contract with Sundowns ends on June 30. And although Downs coach Pitso Mosimane has made it clear he doesn't want Billiat to go, the playmaker has attracted strong interest from abroad, while there is also talk Kaizer Chiefs want his signature.
According to a source close to Billiat, the Zimbabwean is getting frustrated with being hounded by different agents and club bosses trying to influence his decision.
"The player is currently in Zim and when he comes back that's when he will need to make a call," the informant tells KickOff.com.
"He must first meet the people who are in charge of his career so they can show him what's there so he can decide.
"Who doesn't want Billiat? At the moment everyone is leading the race for his signature.
"Billiat is also frustrated you know because some of these guys they go to him directly. Agents also, they go promising him things you know.
"Everybody wants Billiat and now it's worse since he scored those two goals [in the recent COSAFA Cup final win over Zambia].
"Even clubs you would never think they might need Billiat ... they want him and they are also prepared to pay.
"Even that club down there they want Billiat, I don't know if this is normal or not.
"Egyptians want Billiat, in Turkey they want Billiat, China they want Billiat, locally they want Billiat."