During the half-an-hour meeting, Singh apprised the governor of the steps being taken by the government, according to officials.
The governor asked the chief minister to ensure transparent and time bound action in this case, especially keeping in view the public outrage.
Singh assured the Governor that appropriate action would be taken and no person involved in the heinous crime would be spared, the officials said.
He said the state government was very serious and committed to take the probe to the logical conclusion and get the guilty punished.
Himachal Pradesh Industries minister Mukesh Agnihotri also accompanied the chief minister.