Park had rejected special prosecutors' requests to answer questions about her role, and she declined to appear before the Constitutional Court.
Howls of outrage erupted on social media Tuesday over the fate of the nine Jindo dogs - a Korean hunting breed renowned for its loyalty.
"We will decide on Wednesday when to summon former president Park and inform her", the spokesman of the Seoul Central District Prosecutors Office said yesterday.
South Korea's presidential race narrowed as authorities said a vote to replace ousted leader Park Geun-hye would take place on May 9.
If she answers to the summons, Park will be the country's fourth former president to undergo questioning over criminal allegations, following Roh Tae-woo, Chun Doo-hwan and the late Roh Moo-hyun.
But Kim Ae Ra, who leads the Korea Alliance for the Prevention of Cruelty to Animals, said the group had filed a complaint with South Korea's anti-corruption and civil rights commission over Park's treatment of the animals.
A Blue House rep denied Park had abandoned the two adult dogs and seven puppies, saying it wouldn't be healthy for the pups to moved at such a young age.
Park said through a spokesman that she felt sorry about not being to complete her term but added that the truth would come out, striking a defiant tone about the prospect of facing an investigation.
The commission then asked the National Police Agency to look into it. Officials from the police agency could not immediately confirm how the case would be treated. People who fail to report an ownership change for pets within 30 days can also face fines of up to 500,000 won.
Park, a criminal suspect in the scandal, had repeatedly refused to make herself available for questioning by the prosecutors before the country's highest court confirmed a parliamentary impeachment motion against her.
Park is accused of pressuring top business executives, including Samsung Electronics Co. heir-apparent Jay Y. Lee, to donate tens of millions of dollars to foundations run by her longtime friend Choi Soon-sil in return for government favors.