"PM is deeply concerned about the incidents in Hisar, Haryana and Nadia, West Bengal," the PMO tweeted.
"PMO has asked for immediate report on facts & action taken regarding the incidents in Haryana & West Bengal," it said in another tweet.
A 71-year-old nun was allegedly gang-raped by dacoits at Gangnapur in Nadia district in the early hours on Saturday after which a CID probe was ordered into the incident.
In another incident, an under-construction church in Kaimri village near Hisar, Haryana, was vandalised by a group and the cross replaced with an idol of Hanuman, triggering tension in the area in Haryana.