Baroda, in their second essay, were 35 for no loss in 16 overs with Rishikesh Parab and Connor Williams batting on identical 16 runs.
Resuming on 108, Tehlan, cousin of Virender Sehwag, lost the other overnight batsman Virat Kohli (21) but next man in Rajat Bhatia (106) proved the perfect foil and the duo milked the toothless Baroda attack with consummate ease, forcing the visitors to resort to negative tactics but that hardly made any difference to the two in-form batsmen.
Ajit Bhoite dropping Tehlan when the batsman was on 79 yesterday, came to haunt the visitors who tried everything they could but just could not perturb the right-hander.
Rajat Bhatia, meanwhile, played his shots and it was after putting on 149 runs for the fifth wicket that the duo were separated when Tehlan was caught at cover off Yousuf Pathan. But by then, the Delhi batsman had scored 200 off 370 balls with the help of 27 fours, during his nine-hour-plus stay in the middle.
Rajesh Pawar finally removed Bhatia after the latter had scored 106 runs with six boundaries and two sixes in his 268-minute knock.
Rajesh Pawar and Yousuf Pathan claimed four wickets each for Baroda.
Later, Baroda captain Jacob Martin said his team would try to bat out the entire day to avert an outright defeat.
''They have taken the upper-hand in the match, thanks to the century and double century. The dropped catch cost us dearly and it was one of those match where our batting, bowling and fielding failed to click,'' Martin said.
Baroda 1st innings: 244 all out
Delhi 1st innings: (Overnight 256 for 3) Mayank Tehlan c Solanki b Yousuf Pathan 200 Virat Kohli c Panchal b Irfan Pathan Sr 21 Rajat Bhatia c Solanki b Pawar 106 Punit Bisht c Martin b Yousuf Pathan 8 Kunal Lal c Shah b Yousuf Pathan 0 Yogesh Sachdeva c Irfan Pathan Sr b Pawar 8 Ashish Nehra b Yousuf Pathan 0 Ishant Sharma not out 7
Extras (B-8, LB-6, W-1, NB-9) 24
Total (All out in 154.4 overs) 493
Fall of wickets:1/22 2/77 3/212 4/284 5/433 6/457 7/457 8/478 9/479
Bowling: Rakesh Patel 34-6-100-0 Irfan Pathan Sr 23-5-54-2 Ketan Panchal 16-2-48-0 Rajesh Pawar 53.4-7-149-4 Yousuf Pathan 23-0-103-4 Ajit Bhoite 5-0-25-0
Baroda 2nd innings: Rishikesh Parab not out 16 Connor Williams not out 16
Extras (B-1, W-1, NB-1) 3
Total (For no loss in 16 overs) 35
Bowling: Ashish Nehra 6-2-6-0 Ishant Sharma 7-3-17-0 Kunal Lal 2-0-5-0 Yogesh Sachdeva 1-0-6-0