In this paper, I address a puzzle about the alignment between ergative/absolutive Case and grammatical relations found in the accusative side of the ergative splits of some Mayan languages (= Kaqchikel, Q'anjob'al and Chol). In the accusative alignment pattern of Kaqchikel, the intransitive subject and the transitive subject alike are cross-referenced by the absolutive morpheme. On the other hand, the object of a transitive verb is cross-referenced by the ergative morpheme: a cross-linguistically rare alignment pattern. In contrast, other ergative split languages within Mayan such as Chol and Q'anjob'al display a very different alignment pattern in their nominative-accusative side. In these languages, both the intransitive subject and the transitive subject are cross-referenced by the ergative morpheme, while the absolutive morpheme cross-references the transitive object. To explain the contrastive alignment patterns, I propose that ergative Case may be assigned as a default to an otherwise Case-less DP. If this analysis is correct, one can conclude that there is no a priori reason to posit a correlation between ergative Case and grammatical relations in certain languages.