Mark Allen, who was beaten in the UK Championship final by Ronnie O'Sullivan on Sunday, sealed a comfortable 4-1 Scottish Open win over China's Chen Feilong.
The Antrim man racked up breaks of 126, 63 and 59 to win his last-64 tie.
World number 11 Shaun Murphy picked up a whitewash 4-0 victory against Michael Holt to make his way through to the third round.
Jimmy Robertson knocked out Jack Lisowski with a 4-1 win, while Wales' Matthew Stevens also beat Elliot Slessor 4-1.
The world number 10, who was beaten in the quarter-finals at the UK Championship last week, had breaks of 72, 55 and 105 in a resounding victory.
There was a surprise exit for Marco Fu as he lost 4-3 to world number 95 Alfie Burden. Fu had claimed the first three frames, including breaks of 133 and 91, but Burden reeled off four in a row to reach round three.
Kyren Wilson breezed into the third round with a 4-0 win over Paul Davison, while Joe Swail was beaten 4-2 by Mark Joyce.
John Higgins recorded a maximum 147 break during his second round match against Gerard Greene.
The home favourite was 2-0 up in the best-of-seven contest at the Emirates Arena when he registered his ninth career maximum to move within one frame of victory.
It was not without a scare, as the 15th black rattled both jaws in the corner pocket before eventually dropping in, but the 43-year-old kept his composure to clean up the colours and claim the £20,000 rolling prize for his efforts.
Higgins kept his composure to seal the final frame to complete a 4-0 whitewash of Northern Ireland's Greene and book his place in the third round.
He will be joined there by 2006 world champion Graeme Dott, who beat Scott Donaldson 4-1 in an all-Scottish contest.
Luca Brecel knocked out home favourite Alan McManus, the Belgian winning through 4-2, while Dominic Dale lost out in a final-frame battle with Zhao Xintong.
Nigel Bond, Ian Burns and Ali Carter became the first three players through to the third round of the Scottish Open in Glasgow after comfortable victories.
🗣️ "I don't fear him"@KyrenWilson is looking forward to his Masters meeting with Judd Trump next month!— World Snooker (@WorldSnooker) December 11, 2018
The Paul Hunter Classic champ beat Oliver Lines 4-2 to reach the last 64 of the @BetVictor Scottish Open this evening #ScottishOpen pic.twitter.com/A19wEDoncz
Former world championship finalist and 1996 British Open winner Bond defeated Welshman Michael White 4-1, while Burns beat fellow Englishman Mike Dunn by the same scoreline.
Carter, twice a world championship runner-up, had a tough time against Cypriot Michael Georgiou as they shared the first four frames before the former surged clear to clinch a 4-2 victory.
In the other morning session matches there were victories for David Lilley, Stuart Carrington, Sam Baird, Zhou Yuelong and Lu Ning.
Lilley was taken all the way by fellow Englishman Mark King before triumphing 4-3 and China's Lu won by the same scoreline over Welshman Jak Jones.
England's Carrington beat Scotland's Eden Sharav, Baird defeated fellow Englishman Martin O'Donnell and Zhou was a 4-2 victor in the all-Chinese battle with Lyu Haotian.
Smoking hot stuff from @pistol147!— World Snooker (@WorldSnooker) December 12, 2018
✔️ 4-1 win over Chen Feilong [L64]
✔️ Breaks: 126, 63 & 59
✔️ AST: 17 seconds
The Masters champ is through to face Yuan Sijun in the last 32 #ScottishOpen pic.twitter.com/M50wItE3AH
Defending Scottish Open champion Neil Robertson crashed out in the second round with a 4-2 defeat to home favourite Ross Muir.
Muir, the world number 94, won the final three frames including hitting a break of 98 in seeing off the 2010 world champion.
There were no problems for world number seven Ding Junhui as he strolled into the third round with a 4-1 win over Robert Milkins, while Joe Perry beat Robbie Williams 4-2.
World number five Judd Trump produced a scintillating display to whitewash Ben Woollaston 4-0 and reach the third round.
Trump made breaks of 102, 50, 66 and 119 in storming his way to victory in Glasgow.
Mark Joyce beat Joe Swail 4-2 while China's Zhang Anda picked up a 4-2 victory over Scotland's Mark Davis.
Ryan Day rounded off the second round matches with a 4-1 win over Anthony Hamilton, sealing his victory with a 100 break.