Dhawan, playing his second competitive game since recovering from a thumb injury, was dismissed for six runs just before close of play.
In response to Vidarbha's 183, Delhi were 12 for one in three overs with captain Gautam Gambhir and night watchman Pradeep Sangwan in the middle.
With KL Rahul a doubtful starter for the fourth Test in Mumbai, Dhawan needs to be among the runs to stake a claim for the opening spot in the Indian team.
Narwal and Saini ripped through the opposition batting taking four and three wickets respectively.
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The new ball bowlers got good support from Sangwan who got rid of Shalabh Shrivastava, Vidarbha's top scored with 62 off 93 balls.
Shrikant Wagh ran out of partners in the end and was unbeaten on 46 off 96 balls.
Brief scores: Vidarbha 183 all out in 62.3 overs (Shrivastava 62; Narwal 4/38). Delhi 12/1 in three overs.
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