The increase was a condition of the loan deal that took Robinho back to his homeland until the World Cup, and is costing the player £10,000 a week, claims Mirror Football.
None of the 26-year-old's family will be without personal protection during his stay with Santos in a country where gangs target the rich and famous with kidnap attempts and ransom demands.
Robinho was forced to pay out £50,000 to one of Brazil's most wanted criminals five years ago after his mother was held captive for 41 days.
The grab took place just weeks after the player's £18 million move from Santos to Real Madrid was announced.
City and their insurance brokers were not prepared to risk a repeat this time around and instructed the player to hire more security at his own expense; Santos are believed to be sharing the costs.
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