A 29-year-old woman has been arrested after the death of a woman in Zetland believed to have been her former girlfriend.

Police found Shuyu Zhou, 23, with severe injuries on a concrete footpath outside an apartment block in Rose Valley Way on Monday night. She could not be revived.

Zixi Wang Credit:NSW Police

Detectives from Strike Force Deepfield spent Tuesday looking for Zixi Wang, also known as Jessie Wang, who investigators believe was Ms Zhou's former partner.

After a tip-off from a member of the public who recognised the description of the late model Mercedes-Benz released by police, Ms Wang, 29, was arrested on the scenic Sea Cliff Bridge between Sydney and Wollongong.