Connolly continued to dominate after half-time and a second goal of the match from Murray late on sealed the victory.
Connolly will discover the winner of that tie on Thursday but revealed that, no matter his opponent, he will again captain himself in the next round as he looks for a lucky charm.
“It was a good result and I am just looking forward to the rest of the tournament," said Connolly.
“I have started captaining myself, so it’s something I might as well continue!"
Day 2 matches
Jose Enrique (LIV) 1-6 Keinan Davis (AVL) | Report and highlights
Morgan Gibbs-White (WOL) 0-3 Aaron Connolly (BHA)
Tony Bellew (EVE) 0-7 Michael Obafemi (SOU) | Report and highlights
Emerson (CHE) 4-2 Andre Gray (WAT) | Report and highlights
How to watch the tournament
Finals Day will also be shown live in the UK on Sky Sports' Premier League and Main Event channels, with the tournament again being televised around the world by the Premier League's international broadcast partners.
The tournament will urge everyone to follow official advice by staying at home and saving lives.
We would also ask anyone inspired to play FIFA 20 to take regular breaks from gaming, every 45 minutes.