Replying to Assam's 354 all out, Himachal were trailing the hosts by 196 runs with six wickets in hand, when the stumps were drawn at the end of day three at the Nehru Stadium.
Opener Aakash Chopra top-scored for the visitors with 55, while Jamaluddin Syed Mohammad picked up two wickets for the hosts.
Himachal were 62 for no loss overnight.
Brief scores:
Assam 1st innings: 354 all out in 117.5 overs (Pallavkumar Das 90; Rishi Dhawan 4/60)
Himachal Pradesh 1st innings: 158 for four in 75 overs (Aakash Chopra 55; J Syed Mohammad 2/32).
