Ryan Gravernberch scored his first Liverpool goal just before half-time after Saint-Gilloise goalkeeper Anthony Moris fumbled Trent Alexander-Arnold’s effort.
Diogo Jota sealed the victory with a stoppage-time goal.
Brighton fought back in a thrilling 2-2 draw against Marseille.
Marseille went 2-0 up in the first half with goals from Chancel Mbemba and Jordan Veretout.
However, Pascal Gross and Joao Pedro scored to earn Brighton a point.
“I think we are not playing well; it’s a very tough period for us at this moment,” said Brighton boss Roberto De Zerbi. “To close the first half at 2-0, this reaction is incredible. For it I am very happy.”
West Ham Sets New Unbeaten Record in Europe
West Ham extended their unbeaten streak in Europe to 17 games with a 2-1 victory against Freiburg.
Lucas Paqueta put West Ham ahead early, and Roland Sallai equalized for Freiburg.
Nayef Aguerd secured the win with a header from James Ward-Prowse’s corner.
Roma Triumphs 4-0 Over Servette
Rangers Suffers 2-1 Defeat to Aris Limassol
Rangers experienced an unexpected 2-1 loss to Aris Limassol.
The Cypriot side secured their first-ever European group stage victory with goals from Alex Moucketou-Moussounda and Shavy Babicka.
Abdallah Sima scored a consolation goal for Rangers.
Real Betis Triumphs Over Sparta Prague
Real Betis bounced back from their previous defeat to Rangers with a 2-1 victory over Sparta Prague in Group C of the Europa League.
Aston Villa Secures Late Win Over Zrinjski Mostar
Villa needed this win after suffering a 3-2 defeat to Legia Warsaw two weeks ago.
“It’s huge because of how we started the group,” said McGinn. “Tonight was a must-win.”
Liverpool, West Ham, and Roma are among the teams making strides in their respective European competitions, while Rangers faces a setback with a surprising loss to Aris Limassol.
Brighton thrilled fans with their comeback in a high-scoring draw against Marseille, and Aston Villa secured a crucial late win in the Europa Conference League.