Sri Lanka were dismissed for 205 after winning the toss on the opening day of the second Test against India in Nagpur on Friday.
On a fascinating and, at times, thrilling day, Smith made an unbeaten 64 to lead his side to 4-165, 137 behind.
Another green track awaits in Nagpur as both teams fight to take lead in the three-match series.
Vince makes 83 and Stoneman 53 before Australia fight back on the opening day of the first Ashes Test in Brisbane on Thursday.
Test of character as another Ashes chapter unfolds when Australia take on England in Brisbane on Thursday.
Indian captain is the top-ranked batsman in both ODIs and T20Is. Anderson continues to be the top-ranked bowler.
Australia vice-captain David Warner said he will undergo intense treatment on his neck after suffering sudden pain during training on Tuesday.
Uncapped seam bowling allrounder Vijay Shankar has been added to the 14-man squad.
Perth Stadium will host the one-day international between England and Australia on January 28.
When the bails were drawn, Indian seamers had reduced the visitors to 75/7 under fading light, in chase of 231.