At close, Punjab were 164 for five with Ankur Kakkar (11) and Amit Uniyal (12) at the crease.
Earlier, the hosts, resuming at 191 for seven, were all out for 244 in 109 overs.
Punjab were in trouble at 63 for 3 before opener Ravneet Ricky steadied the innings, making a superb 71 before being bowled by left-arm spinner, Ramkumar. He put on 74 runs for the fourth wicket with wicketkeeper batsman, Pankaj Dharmani (23).
R.Sodhi (24), Yuvraj (9) Dinesh Mongia (1) were the Punjab batsmen who threw away their wickets.
Yuvraj's short pull off Jesuraj resulted in a top edge to short square-leg and wicketkeeper Vikram Kumar ran to take the catch. Mongia played on trying to defend a Jesuraj delivery. Jesuraj claimed all three wickets in his third spell.
Earlier, a 119-run stand between K.Sri Vasudeva Das, who remained unbeaten with a chanceless 91 (296m, 196b, 9 fours) and M.R.Srinivas (52) helped Tamil Nadu reach a modest score.
Rajvir Singh claimed 5/70 while Amit Uniyal 4/63.
Brief Scores: Tamil Nadu (First innings) 244 all out 109 overs (S.Sriram 38, K.Vasudeva Das 91 not out, M R Srinivas 52, V.R.Singh 5/70, A.Uniyal 4/63) and Punjab 164 for 5 in 63 overs (Ravneet Ricky 71, R.S.Sodhi 24, R.Jesuraj 3 for 50).