As of my last knowledge update in January 2024, there was no specific information available regarding the formation date of the NDLI Club.1
References
1Waghmare MP. Role of NDLI Club in College Library. In: UGC Sponsored National Conference on Recent Advancements in Science and Technology. Vol V: Mathematics & Library Science. Sai Jyoti Publication; :121-125. https://vbmv.org/pdf/5.pdf#page=276