This paper investigates the grammar of two types of spatial particles in Hungarian. We provide an analysis in the framework of Lexical-Functional Grammar (LFG), which has been successfully implemented on the Xerox Linguistic Environment (XLE) platform of the Parallel Grammar international project. We propose that, in the productive cases, syntactic predicate composition of a special sort takes place via XLE’s restriction operator. We treat the non-productive cases by dint of appropriate specifications in the (distinct) lexical entries of verbs and particles in combination with XLE’s concatenation template.