[1] Euparkeriids, as well as several other advanced archosauriformes or early archosaurs (Dorosuchus, Dongusuchus, gracilisuchids) were lightly built and agile terrestrial carnivores which likely competed with cynodonts for food.
Sookias et al. (2014) analysed many species that have been considered euparkeriids, finding many outside the group while recovering a slightly supported monophyletic family including "Turfanosuchus" shageduensis, Halazhaisuchus, and Euparkeria.
[2] Erythrosuchus Vancleavea Chanaresuchus Tropidosuchus Euparkeria Halazhaisuchus "Turfanosuchus" shageduensis Parasuchus Smilosuchus Pseudopalatus Archosauria Sookias (2016) also performed another study on Euparkeriidae using both parsimony and Bayesian analysis.
This study found Halazhaisuchus, Osmolskina, and "Turfanosuchus" shageduensis to all be valid members of a monophylectic (albeit poorly supported) Euparkeriidae, and more closely related to each other than to Euparkeria.
The strict consensus tree of the parsimony analysis is given below:[3] Proterosuchus fergusi Sarmatosuchus otschevi Erythrosuchidae Vancleavea campi Doswelliidae Proterochampsidae Euparkeria capensis Halazhaisuchus qiaoensis Osmolskina czatkowicensis "Turfanosuchus" shageduensis Dorosuchus neoetus Phytosauria Pseudosuchia Avemetatarsalia The Bayesian analysis resolved the trichotomy within Euparkeriidae and recovered Halazhaisuchus and Osmolskina as sister taxa.
This analysis is given below: Proterosuchus fergusi Sarmatosuchus otschevi Erythrosuchidae Vancleavea campi Koilamasuchus gonzalezdiazi Doswelliidae Proterochampsia Euparkeria capensis Halazhaisuchus qiaoensis Osmolskina czatkowicensis "Turfanosuchus" shageduensis Dorosuchus neoetus Phytosauria Pseudosuchia Avemetatarsalia