The Department of Conservation says it's likely the calf's been alone for "well over a week".
And while Billy seemed to be swimming freely, it was "losing condition" and needed to be reunited with its relatives smartly, the department's Tauranga-based operations manager Jeff Milham said.
"Everyone at the meeting agreed that reuniting the lone orca calf with its family pod is the key to its long term survival in the wild," he said.
"The difficulty we all face is finding the young orca's family pod as there have been no indications where the calf has come from. This means we have no way of knowing how long it will take to find the family pod.
"Meanwhile we know that without the support of its pod the young orca's condition is deteriorating."
Meanwhile the whale experts are thinking about how to re-unite Billy with its family or how it could survive if this proved impossible.
If anyone sees any orca pods in Bay of Plenty, the department would like to hear: 0800 DOC Hot/0800 362 468.