The home side came back twice in the match to hold the visiting side and continue their unbeaten streak in 13 matches.
Myanmar scored through Yan Naing Oo (1st minute) and Kyaw Ko Ko (19th) while Sunil Chhetri (12th; penalty) and Jeje Lalpekhlua (69th) found the target at the Nehru Stadium here.
India had beaten Myanmar 1-0 in the first leg in Yangon in March through a Chhetri winner.
With today's draw, India are on the top of the group with 13 points from five matches. Myanmar are placed second with five points from four matches.
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True to captain Chhetri's words that Myanmar were a tough side, the visitors scored as early as the first minute before the home team defence could settle down.
A quick build up on the left saw Thein Than run down the left flank and send a perfect cross into the box for Yan Naing Oo to head in to put the home team under early pressure.
India's defence was shaken by the early goal and nearly conceded another two minutes later but Kyaw Ko Ko shot straight to goalie Gurpreet Singh Sandhu.
Myanmar showed a lot of urgency in their attack and once again took the lead in the 19th minute when Kyaw Ko Ko sent a stiff grounder that beat a diving Gurpreet to find the corner of the net.
India looked dangerous in their counter attacks and had their chances to restore parity but Sandesh Jhingan shot over the bar off a free kick taken by Eugeneson Lyngdoh in the 39th minute.
The second half was fought on equal terms as both the teams made forays but could not penetrate into the rival box. Chhetri once again saw his header going out from close off a cross from the right.
India continued to control the proceedings and finally restored parity in the 69th minute through Jeje.
Lyngdoh, who orchestrated most of the moves from the middle, sent a high lob for Jeje who chested the ball inside the box and essayed a low shot that beat rival keeper to find the far post.