This paper develops a syntax-semantics interface analysis for the existential interpretations arising with Kannada bare singulars. Three key properties associated with these items are first identified: (i) obligatory narrow scope, (ii) high productivity, especially in comparison to similar items crosslinguistically, and (iii) number-neutrality in certain direct object uses, in telic as well as atelic contexts. A compositional analysis for these items is then developed, based on Predicate Restriction (Chung & Ladusaw 2004). Two of the three core properties (obligatory narrow-scope and productivity) are explained directly as a result of this mode of composition. The last property (number-neutrality contrasts) are attributed to variation in the syntactic positions of the different occurrences of the bare existential singulars – in particular, their position relative to two independently motivated, VP-internal distributive pluractional operators. To this end, we flesh out an articulated verbal functional LF structure for Kannada, and provide compositional examples illustrating the force of our account.