The baby is immuno-deficient and highly vulnerable to infection,' Bisoi said.
He said the infant, weighing two kgs, was given 160-200 ml of A positive blood.
The doctor said they would take a decision about performing surgery on the baby Tuesday.
Bisoi said the infant is suffering from the 'rarest of the rare heart defect' known as Thoracic Ectopia Cordis, a birth defect that occurs in five to nine cases in one million births and the mortality rate is very high.
'There are only three survivors suffering from the disease in the world. But this baby is the only one with two heart defects,' he said.
'It's a miracle and challenge for doctors. Every extra day he survives gives us an opportunity to deal with the rare disease and we are learning a lot from the case. We are doing our best to ensure the child lives,' Bisoi said.
Bisoi said they are also planning to do genetic mapping on the couple to check whether their other children would be born with the same defect.