A target data storage system comprises a peer-to-peer communication link interface for linking the target to a source data storage system, and data storage for storing point in time copy data received from the source via the peer-to-peer communication link interface. Information is established at the target relating logical identification of the point in time copy data to point in time copy data stored at the target and to point in time copy data stored at the source, such that the information references the data storage system having requested point in time copy data. A controller of the target accesses requested point in time copy data at the target if the table indicates that the requested point in time copy data is available at the target; else obtains the requested point in time copy data from the source via the peer-to-peer communication link interface.