He won prestigious races such as the Critérium du Dauphiné Libéré, Clásica de San Sebastián and the (at the time) unofficial time trial world championship, Grand Prix des Nations.
In both the 1992 and 1994 Tour de France he finished in the top 5 of the prologue as well as the other ITT's.
He won a stage in the 1994 Giro d'Italia, an ITT, and placed in the top 5 of both other time trials.
De Las Cuevas retired to Réunion in 1999, where he founded a cycling school.
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