Despite this strong performance, in what was the first major mountain stage of the Tour de France, Cobo was forced to leave the Tour with his team following the positive control of the Italian Riccardo Riccò.
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In 2008, still with Saunier Duval, he made a quieter start to the season but finished second in the Tour de France Hautacam stage, behind his teammate Leonardo Piepoli.
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On Stage 14 of the 2011 Vuelta a España Taaramae and breakaway companion David de la Fuente were the last two riders of a 17 man breakaway, but with 2 km to go de la Fuente dropped back to pace teammate Juan José Cobo up the climb allowing Taaramae to solo to his first ever Grand Tour stage win.