Calcavecchia and Price bounced back from a rough start to combine for a 9-under 63, holding second at minus-18. Both pairs will be back for Sunday's final round.
The double-rookie team of Bradley and Steele accounted for three PGA Tour wins this year, while each member of the seniors duo have logged Champions Tour victories this season as well.
Taking sole possession of third one shot further back were Rory Sabbatini and Jhonattan Vegas with Saturday's lowest round -- a 12-under 60.
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