A bench of justices Badar Durrez Ahmed and Sanjeev Sachdeva said the status report shall indicate the number of sterilizations carried out on stray dogs and how many of them have been returned to localities they were picked up from.
"There is a menace, no doubt about it as one of our judges was also bitten by a stray dog," the bench said while issuing the directions.
AWBI told the court that the Rules were not being implemented.
The court also took note of yesterday's incident of a seven-year-old child dying due to bites of a pack of stray dogs and directed the municipal corporation of South Delhi to file a status report on that.
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The court also observed that compensation should be provided to those affected by such incidents.
The high court asked AWBI to place before it the apex court order and listed the matter for further hearing on August 26.
The court was hearing a PIL filed by an NGO, Nyaya Bhoomi, seeking directions to Delhi government and municipal authorities to take action as well as frame guidelines to address the "growing menace" of stray dogs and dog bites.