Night temperatures rose marginally in parts of Rajasthan with the hill station, Mount Abu, recording a minimum of 1.4 degrees Celsius. Churu and Bhilwara recorded a minimum of 8.8 degrees Celsius.
Cold conditions would continue in the desert state with the possibility of light rains at isolated areas in western Rajasthan till Wednesday.
Several regions in the upper Himachal Pradesh received fresh snowfall with Kalpa recording 9.6 cm fall, followed by Khadrala (6 cm), Keylong 3 cm and Shillari 1 cm.
Also, several parts of the state including Manali, Nichar, Bharmaur, Jubbal, Wangtoo and Seobagh experienced light rains.
Many places in Kashmir received intermittent snowfall and rains for the second day on Tuesday as the weather office said the wet spell is likely to continue.
Most of the higher reaches of the valley received moderate to heavy snowfall over the past 36 hours, while many areas in the plains experienced light snowfall and rains.
The famous ski-resort of Gulmarg in north Kashmir recorded seven inches of fresh snowfall during the night, while Pahalgam tourist resort in south Kashmir recorded six inches of snow, the official said.
There are reports of snowfall in other areas in the higher reaches, including the Sonamarg-Zojila axis on the Srinagar-Leh road which connects the valley with Ladakh, he said.