San Francisco police found a dismembered body when they opened a suitcase abandoned on a downtown street and then made another gruesome discovery when they uncovered more body parts nearby.

Police spokeswoman Grace Gatpandan said Thursday that it's unclear if all the remains belong to one person. She says investigators have a rough description of a suspect but aren't releasing additional details because the investigation is ongoing.

Gatpandan says officers responding to a call about a suspicious package Wednesday afternoon opened the suitcase to find either human or animal remains. A medical examiner confirmed the body parts were human.

Identifiers such as gender and race weren't immediately known, and police did not release any more details about the additional remains, including where they were found.