Laxman fired in a break of 102 to clinch the round of 32 match against Telegana's I V Rajiv 5-3 in the best of nine-frame encounter to enter the last 16.
Also through to the pre-quarters was national no. 1 in 6-Red snooker, Varun Madan of Delhi, who recently won the Akshay Gohad memorial in Pune.
Madan edged out Railways' Malkeet Singh 5-4 after fighting back to win two frames on the trot when Malkeet led 4-3.
Down 0-4, Rahul Sachdev of Maharashtra, put all his hard work to clinch 3 frames in a row but all went in vain as Shivam Arora of Bihar clinched the 8th frame to close the match proceedings 5-3. Shivam scored two breaks of 72 and 54 in the 3rd and 4th frames.
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Petroleum Sports Promotion Board's Shahbaz Khan also entered the second round. He had to dig deep into his reserves after trailing his opponent Himanshu Jain of Telengana 1-2 before carving out a 5-4 win in the first round.
Shahbaaz Khan (PSPB) beat Himanshu Jain (TL) 5-4 (2-58, 53-74, 13-76(67), 77-21, 78-52, 79(51)-18, 72(63)-36, 12-64, 72-06); Faisal Khan (RLY) beat Ishpreet Chadha (MH) 5-2 (59-41,84(54)-00, 68-52, 67-01, 39-78(52), 39-74, 79(59)-09).