Robben Sr. referred to an offer from the west London club as Real Madrid step up their interest in his son.
"In fact, the new contract wasn't really a new contract," he said. "It was no good so we turned it down.
"Maybe he'll go to Madrid or maybe he'll stay and serve out his current two-year contract."
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Reports in the British press have suggested that the player, 23, turned down wages of £90,000 a week to sign. However that has been strenuously denied.
"It has been reported that Arjen was offered £90,000 a week. Maybe if it was, he would have signed," Robben Sr. continued.
Chelsea have signed another winger in Florent Malouda from Lyon this summer and so may allow Robben, who suffered from injury last season, to leave Stamford Bridge.
Chelsea finished runners-up to Manchester United last season while Madrid claimed their first Liga title in four years.
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