They did pull one back when the previously profligate Hernandez turned beautifully to lose the flat-footed Martin DeMichelis before burying a shot beyond SergioRomero.
Spain took the lead in the 16th minute after Argentina goalkeeper SergioRomero saved David Silva's angled shot only for Alonso to capitalize on the rebound.
Uruguay keeper Nestor Muslera flapped at a cross, while opposite number SergioRomero saw a clearance rebound off Uruguay forward Jorge Rodriguez - and he was relieved to see it fly wide.