But while 2017 winners United and Sevilla, who claimed three successive Europa League titles between 2014-16, advanced with ease, it was the Scots who provided the drama as a last-gasp Olivier Ntcham goal handed them a 2-1 win at Lazio.
Basel are also into the next stage where the top two in each of the 12 Europa League groups are joined by eight teams dropping out of the Champions League.
All the qualified teams are through with two games to spare.
Celtic, European champions over a half century ago, advanced from Group E as they came back after conceding an early goal to clinch their first-ever victory on Italian soil, with Frenchman Ntcham elegantly chipping the ball over oncoming goalkeeper Thomas Strakosha deep in stoppage time for the winner.
Munir El Haddadi’s hattrick for Sevilla was supplemented by two from Munas Dabbur in the 5-2 away drubbing of Luxembourg’s Dudelange as the Spaniards kept up their 100% record in Group A after racing into a 4-0 halftime lead.
Teenager Mason Greenwood put Manchester United ahead versus Partizan Belgrade at Old Trafford and a superb individual goal from Anthony Martial doubled the lead before halftime.
Marcus Rashford also fired home a fine goal in the 49th minute to complete a 3-0 victory in Group L.
United are the only team in this season’s Europa League not to have conceded a goal, even if they gave first choice goalkeeper David de Gea the day off on his 29th birthday.