The call came after Prime Minister Tony Abbott yesterday refused to deny allegations that the captain and five crew of a boat carrying asylum-seekers were each paid USD 5,000 by an Australian immigration official to return to the Southeast Asian nation.
The claims were made to local police on Rote island in eastern Indonesia, where the boat carrying 65 asylum-seekers came ashore late May after being intercepted by the Australian navy.
Indonesian foreign ministry spokesman Arrmanatha Nasir said Jakarta was seeking clarification from Australia on the issue.
"We have consistently said that the Australian government's push-back policy is on a slippery slope," he told AFP, referring to the Abbott administration's hard-line policy of turning back asylum boats when it is safe to do so.
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"If this latest incident is confirmed, this will be a new low for the way that the Australian government is handling this issue."
"I just asked him 'What is it about, tell me, what is it?'," she told reporters at the event.
"He promised to take my question, my inquiry, to Canberra and he promised to get back to me again."
Grigson only returned to Jakarta recently after being recalled by Australia in protest at the executions.
Indonesian authorities have launched an investigation into the alleged payments to the crew of the boat carrying asylum-seekers from Bangladesh, Myanmar and Sri Lanka, which was intercepted en route to New Zealand.