With time running out, the Spanish star came up short in his 'last bullet' bid to win a stage in his final Giro d'Italia.
Alejandro Valverde loses almost eight minutes on GC rivals after suffering a puncture on the Superga descent.
Agent denies a deal is done with Movistar, and says the Olympic champion will decide his future after the Giro d'Italia.
The Australian takes her first win in Movistar colors while American rider Veronica Ewers continues good run of form to take second.
The Giro's first mountain summit at Mount Etna on Tuesday gives Iván Sosa and Miguel Ángel López their first chance to recapture time trial losses.