In Spanish, the element todo ‘all’ agrees in gender and number with the noun it quantifies over (todas las ventanas ‘all.F.PL the.F.PL windows.F.PL'). In this article I discuss a novel construction in Rioplatense Spanish, restricted to existentials and possessives, in which todo agrees in gender and number with a given nominal in the structure but is neither syntactically nor semantically related to it (e.g. Hay toda agua en el baño (have.PRS all.F.SG water.F.SG in the bathroom) ‘There's water over the whole bathroom floor'). I argue that the syntax and the interpretation of this construction can be explained only if todo ‘all’ is understood to be modifying a silent element (in the sense of Kayne 2004). In particular, I propose that todo is the modifier of a PP headed by the silent preposition WITH, and that the nominal that agrees with todo is the complement of this silent P. This analysis sheds light on the structure of existential sentences and supports the view put forth in Levinson 2011, contra Freeze 1992, that a single underlying structure for possessive structures cannot be maintained.