Nigam, in his tweet, had compared Radhe Maa to a Hindu goddess, said police.
"Police received two applications against Nigam for his tweet regarding Radhe Ma a few days ago," said deputy commissioner of police M Dahikar.
Samtanagar and Sakinaka police stations received two applications against the singer, requesting police to file an FIR, for "hurting religious sentiments".
"Police haven't filed any FIR against the singer yet," Dahikar said.