That same season he teamed up with Seve Ballesteros to win the World Cup of Golf for Spain, finishing three strokes ahead of the Philippines.

Following this World Cup success he received an invitation to play in the 1978 Masters Tournament, where he missed the cut.

Garrido's son Ignacio was a successful European Tour golfer; having won the 2003 Volvo PGA Championship.

In 1997 the Garridos became the second father and son combination to have played in the Ryder Cup after Percy and Peter Alliss.

They were later followed by Manuel and Seve Ballesteros, Francesco and Edoardo Molinari as well as Rasmus and Nicolai Højgaard.