"This concerns two separate reports from two women," said Karin Rosander, spokeswoman for the Prosecutor General's Office.
Finné said she had not yet decided how to proceed.
"I am going to look thoroughly at this and take a view on the question of how to classify the complaints in the coming days. I have not ordered for Assange to be questioned," she said.
The two women making the allegations, believed to be Swedish, approached police separately, one in Stockholm and one in an unnamed Swedish city.
Finné defended the original decision by a duty prosecutor on Friday night to issue an arrest warrant for Assange for suspected rape.
"I made my decision to reverse that decision one day later, when I had a lot more information to work with," she said.
The rape accusations have now been dropped. Finné's office could not on Monday say when a decision would be made about whether to take further action against Assange.
The Australian has been in Sweden to give lectures about Wikileaks' controversial publication of secret documents about the war in Afghanistan. WikiLeaks' servers are hosted in by a company in a Stockholm suburb.