Openers Wasim Jaffer and Dinesh Karthick appeared in no hurry as they negotiated the morning session on a slow, barren wicket at Test cricket's newest venue, the Sher-e-Bangla National Stadium.
Jaffer, who bagged a pair in the drawn first Test in Chittagong, was unbeaten at the break on 40 with the help of six boundaries.
Karthick, the makeshift opener for the series, who made 56 in the first innings of the first Test, faced 81 balls while scoring a dour 22 not out.
Bangladesh captain Habibul Bashar may have been prompted by overcast conditions when he asked India to bat, but the wicket offered no assistance to the bowlers.
The only chance that came Bangladesh's way went begging as Saqibul Hasan dropped a catch at second slip when Karthick, then on 11, edged left-arm seamer Syed Rasel.
The batsmen saw off a steady five-over opening spell by pace spearhead Mashrafe Mortaza that cost just six runs, before picking up runs off the other bowlers.
Bangladesh selected three seamers in Mortaza, Mohammad Sharif and Rasel and went in with just one specialist spinner in Mohammad Rafique.
Another seamer, Shahadat Hossain, who played in the Chittagong Test, was sidelined with high fever.
India awarded a Test cap to 18-year-old Delhi seamer Ishant Sharma, who has played in just one domestic season, in which he claimed 29 wickets in six games.
Sharma, who joined the touring squad after Munaf Patel was injured, took the place of Vikram Rajvir Singh, who played in the first Test.
Brief Score (at lunch, D-1):
India 67/0 (Wasim Jaffer 40 n o, Karthick 22 n o) Vs Bangladesh.