The Spaniard won the opening set in 18 minutes, losing only six points. Fognini broke Robredo twice in the second set but could only hold serve once himself.
''No money can buy this feeling,'' Robredo said. ''I played a perfect match, did a great job. But in matches like this it is always important to win.''
Robredo also won on clay at the Grand Prix Hassan II in April in Morocco. Eleven of his 12 titles have been on clay.