Residents and tourists have been advised not to venture out on the high hills as chances of snapping of road links were high.
These towns had witnessed moderate spells of snowfall last week.
Kufri, Narkanda, Manali and Dalhousie were already covered in a thick blanket of snow.
"The impact of the western disturbances will be largely seen in the state on February 7 (Thursday) with possibility of heavy snowfall in the high hills of Shimla, Kinnaur, Kullu, Chamba and Lahaul-Spiti districts," he added.
On the lower altitude, Dharamsala, Palampur, Solan, Nahan, Bilaspur, Una, Hamirpur and Mandi towns were likely to see widespread rain that would bring down the temperatures considerably.
Shimla on Monday recorded a minimum temperature of 5.6 degrees Celsius, while it was minus 5 degrees in Kalpa, minus 0.6 degree in Manali, 4.2 degrees in Dalhousie, 2.3 degrees in Kufri and 4.8 degrees in Dharamsala.
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