The macaque had entered the sprawling President's Estate yesterday, seeking to take up temporary shelter for protection, it said.
"The injured animal was spotted in the meeting room by the staff of the President's House who alerted us," the Wildlife SOS said in a statement.
"Our team has to be careful while extricating injured animals, so as to avoid causing further stress or pain. The macaque is currently undergoing treatment and will be released back into its natural habitat when certified fit for release," Manager Wildlife SOS Special Projects, Wasim Akram said.
The President's Estate, spread over 330 acres, is also home to several flora and fauna. Completed in 1929, it is one of the most visited and photographed buildings in Delhi. It encompasses 1 1/2 miles of corridors, 227 columns and 37 fountains, including roof fountains.
"Human primate conflict, often termed as monkey menace is on the rise, sadly because of the fragmentation and disappearance of the original habitat that these animals dependent on.