The infant was rescued by some volunteers from the garbage dump in Unit-8 area near the passport office here yesterday who heard her cry, police said.
The police rescued the baby and admitted her to Capital Hospital here. She was shifted to Sardar Vallabhbhai Patel Postgraduate Institute of Paediatrics (Sishu Bhawan) in Cuttack this morning, they added.
"The condition of the baby girl is critical. She is admitted at the ICU and a team of expert doctors is looking after her health," said Sishu Bhawan director S Satpathy.
No one has claimed the baby, the police added.