Deshmukh received the calls from Himachal Pradesh and another location from different numbers on Tuesday and at around 6 am on Wednesday, the sources said.
Deshmukh hailed the Mumbai Police, saying they are often compared with the Scotland Yard of the UK.
Maharashtra Home Minister Anil Deshmukh has sought the ban on the film under the Information Technology Act to ensure the law and order situation is not affected in the state.
Police said that there were separate threat calls to the hotels from a Pakistani number late Monday night.
Maharashtra Home Minister Anil Deshmukh said had the train services commenced earlier, as the state government was demanding, the sufferings of labourers would have been much less.
Palghar lynching: No Muslim arrested, unfortunate communal politics being played, says Maharashtra Minister
None of the accused arrested in connection with the incident is a Muslim. It is unfortunate that communal politics is being played following the incident, Deshmukh said in his address via Facebook
After the Wadhawan brothers and 21 others, including their family members, reached Mahabaleshwar hill town, they were quarantined there by the Satara district administration.
Deshmukh made the announcement through a loudspeaker attached to a drone that is being used to maintain vigil in densely-populated areas like the Koliwada, a fisherfolk village.
The letter of Gupta went viral on social media, giving fodder to the opposition to target Chief Minister Uddhav Thackeray and Deshmukh.
Anil Deshmukh, in his letter to the Centre, raised eight questions to Union Home Ministry, Delhi police and NSA Ajit Dhoval.
Deshmukh condoled the suicide of a farmer at Pathardi in Ahmednagar district and said all possible help would be given to his family.
Ankita Pisudde was allegedly set on fire by Vikesh Nagrale, who had been stalking her for some time, at Hinganghat town on February 3.
Dalits visit the memorial in large numbers as it commemorates victory of British forces which included Dalit Mahar soldiers over the army of the Brahmin Peshwa rulers of Pune in 1818.
Deshmukh said his personal opinion, as an NCP worker, is that the CAA and the NRC should not be implemented in Maharashtra.